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Finding the Fourth Proportional to 347.74, 521.56 and 142.31

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Solution

The fourth proportional to 347.74, 521.56 and 142.31 is: 213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.74 : 521.56 = 142.31 : x
  2. Step 2: Convert to fraction form
    347.74/521.56 = 142.31/x
  3. Step 3: Cross multiply
    347.74x = 521.56 × 142.31
  4. Step 4: Simplify right side
    347.74x = 74,223.20
  5. Step 5: Solve for x
    x = 74,223.20/347.74
  6. Step 6: Final answer
    x = 213.44

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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.