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Finding the Fourth Proportional to 347.53, 521.23 and 142.09

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Solution

The fourth proportional to 347.53, 521.23 and 142.09 is: 213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.53 : 521.23 = 142.09 : x
  2. Step 2: Convert to fraction form
    347.53/521.23 = 142.09/x
  3. Step 3: Cross multiply
    347.53x = 521.23 × 142.09
  4. Step 4: Simplify right side
    347.53x = 74,058.25
  5. Step 5: Solve for x
    x = 74,058.25/347.53
  6. Step 6: Final answer
    x = 213.10

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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.