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Finding the Fourth Proportional to 471.26, 706.78 and 142.13

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Solution

The fourth proportional to 471.26, 706.78 and 142.13 is: 213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.26 : 706.78 = 142.13 : x
  2. Step 2: Convert to fraction form
    471.26/706.78 = 142.13/x
  3. Step 3: Cross multiply
    471.26x = 706.78 × 142.13
  4. Step 4: Simplify right side
    471.26x = 100,456.59
  5. Step 5: Solve for x
    x = 100,456.59/471.26
  6. Step 6: Final answer
    x = 213.16

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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.