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Finding the Fourth Proportional to 347.52, 521.16 and 174.12

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Solution

The fourth proportional to 347.52, 521.16 and 174.12 is: 261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.52 : 521.16 = 174.12 : x
  2. Step 2: Convert to fraction form
    347.52/521.16 = 174.12/x
  3. Step 3: Cross multiply
    347.52x = 521.16 × 174.12
  4. Step 4: Simplify right side
    347.52x = 90,744.38
  5. Step 5: Solve for x
    x = 90,744.38/347.52
  6. Step 6: Final answer
    x = 261.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.