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Finding the Fourth Proportional to 347.25, 521.07 and 154.89

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Solution

The fourth proportional to 347.25, 521.07 and 154.89 is: 232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.25 : 521.07 = 154.89 : x
  2. Step 2: Convert to fraction form
    347.25/521.07 = 154.89/x
  3. Step 3: Cross multiply
    347.25x = 521.07 × 154.89
  4. Step 4: Simplify right side
    347.25x = 80,708.53
  5. Step 5: Solve for x
    x = 80,708.53/347.25
  6. Step 6: Final answer
    x = 232.42

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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.