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Finding the Fourth Proportional to 431.47, 647.22 and 142.91

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Solution

The fourth proportional to 431.47, 647.22 and 142.91 is: 214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.47 : 647.22 = 142.91 : x
  2. Step 2: Convert to fraction form
    431.47/647.22 = 142.91/x
  3. Step 3: Cross multiply
    431.47x = 647.22 × 142.91
  4. Step 4: Simplify right side
    431.47x = 92,490.97
  5. Step 5: Solve for x
    x = 92,490.97/431.47
  6. Step 6: Final answer
    x = 214.36

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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.