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Finding the Fourth Proportional to 347.58, 521.24 and 142.20

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Solution

The fourth proportional to 347.58, 521.24 and 142.20 is: 213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.58 : 521.24 = 142.20 : x
  2. Step 2: Convert to fraction form
    347.58/521.24 = 142.20/x
  3. Step 3: Cross multiply
    347.58x = 521.24 × 142.20
  4. Step 4: Simplify right side
    347.58x = 74,119.62
  5. Step 5: Solve for x
    x = 74,119.62/347.58
  6. Step 6: Final answer
    x = 213.24

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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.