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Finding the Fourth Proportional to 258.18, 387.47 and 232.66

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Solution

The fourth proportional to 258.18, 387.47 and 232.66 is: 349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.18 : 387.47 = 232.66 : x
  2. Step 2: Convert to fraction form
    258.18/387.47 = 232.66/x
  3. Step 3: Cross multiply
    258.18x = 387.47 × 232.66
  4. Step 4: Simplify right side
    258.18x = 90,148.77
  5. Step 5: Solve for x
    x = 90,148.77/258.18
  6. Step 6: Final answer
    x = 349.17

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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.