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Finding the Fourth Proportional to 258.38, 387.03 and 150.11

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Solution

The fourth proportional to 258.38, 387.03 and 150.11 is: 224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.38 : 387.03 = 150.11 : x
  2. Step 2: Convert to fraction form
    258.38/387.03 = 150.11/x
  3. Step 3: Cross multiply
    258.38x = 387.03 × 150.11
  4. Step 4: Simplify right side
    258.38x = 58,097.07
  5. Step 5: Solve for x
    x = 58,097.07/258.38
  6. Step 6: Final answer
    x = 224.85

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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.