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Finding the Fourth Proportional to 347.40, 521.16 and 142.08

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Solution

The fourth proportional to 347.40, 521.16 and 142.08 is: 213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.40 : 521.16 = 142.08 : x
  2. Step 2: Convert to fraction form
    347.40/521.16 = 142.08/x
  3. Step 3: Cross multiply
    347.40x = 521.16 × 142.08
  4. Step 4: Simplify right side
    347.40x = 74,046.41
  5. Step 5: Solve for x
    x = 74,046.41/347.40
  6. Step 6: Final answer
    x = 213.14

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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.