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Finding the Fourth Proportional to 347.68, 521.21 and 142.21

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Solution

The fourth proportional to 347.68, 521.21 and 142.21 is: 213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.68 : 521.21 = 142.21 : x
  2. Step 2: Convert to fraction form
    347.68/521.21 = 142.21/x
  3. Step 3: Cross multiply
    347.68x = 521.21 × 142.21
  4. Step 4: Simplify right side
    347.68x = 74,119.26
  5. Step 5: Solve for x
    x = 74,119.26/347.68
  6. Step 6: Final answer
    x = 213.18

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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.