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Finding the Fourth Proportional to 657.76, 986.62 and 170.82

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Solution

The fourth proportional to 657.76, 986.62 and 170.82 is: 256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.76 : 986.62 = 170.82 : x
  2. Step 2: Convert to fraction form
    657.76/986.62 = 170.82/x
  3. Step 3: Cross multiply
    657.76x = 986.62 × 170.82
  4. Step 4: Simplify right side
    657.76x = 168,534.43
  5. Step 5: Solve for x
    x = 168,534.43/657.76
  6. Step 6: Final answer
    x = 256.22

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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.