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Finding the Fourth Proportional to 347.80, 521.42 and 142.47

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Solution

The fourth proportional to 347.80, 521.42 and 142.47 is: 213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.80 : 521.42 = 142.47 : x
  2. Step 2: Convert to fraction form
    347.80/521.42 = 142.47/x
  3. Step 3: Cross multiply
    347.80x = 521.42 × 142.47
  4. Step 4: Simplify right side
    347.80x = 74,286.71
  5. Step 5: Solve for x
    x = 74,286.71/347.80
  6. Step 6: Final answer
    x = 213.59

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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.