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Finding the Fourth Proportional to 510.70, 766.08 and 145.49

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Solution

The fourth proportional to 510.70, 766.08 and 145.49 is: 218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.70 : 766.08 = 145.49 : x
  2. Step 2: Convert to fraction form
    510.70/766.08 = 145.49/x
  3. Step 3: Cross multiply
    510.70x = 766.08 × 145.49
  4. Step 4: Simplify right side
    510.70x = 111,456.98
  5. Step 5: Solve for x
    x = 111,456.98/510.70
  6. Step 6: Final answer
    x = 218.24

Related Problems

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Half scale
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Double scale
Find fourth proportional to 511.70, 767.58 and 146.49
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.