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Finding the Fourth Proportional to 657.47, 986.20 and 170.51

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Solution

The fourth proportional to 657.47, 986.20 and 170.51 is: 255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.47 : 986.20 = 170.51 : x
  2. Step 2: Convert to fraction form
    657.47/986.20 = 170.51/x
  3. Step 3: Cross multiply
    657.47x = 986.20 × 170.51
  4. Step 4: Simplify right side
    657.47x = 168,160.41
  5. Step 5: Solve for x
    x = 168,160.41/657.47
  6. Step 6: Final answer
    x = 255.77

Related Problems

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Half scale
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Double scale
Find fourth proportional to 658.47, 987.70 and 171.51
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.