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Finding the Fourth Proportional to 347.66, 521.43 and 174.14

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Solution

The fourth proportional to 347.66, 521.43 and 174.14 is: 261.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.66 : 521.43 = 174.14 : x
  2. Step 2: Convert to fraction form
    347.66/521.43 = 174.14/x
  3. Step 3: Cross multiply
    347.66x = 521.43 × 174.14
  4. Step 4: Simplify right side
    347.66x = 90,800.52
  5. Step 5: Solve for x
    x = 90,800.52/347.66
  6. Step 6: Final answer
    x = 261.18

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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.