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Finding the Fourth Proportional to 258.52, 387.84 and 75.93

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Solution

The fourth proportional to 258.52, 387.84 and 75.93 is: 113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.52 : 387.84 = 75.93 : x
  2. Step 2: Convert to fraction form
    258.52/387.84 = 75.93/x
  3. Step 3: Cross multiply
    258.52x = 387.84 × 75.93
  4. Step 4: Simplify right side
    258.52x = 29,446.75
  5. Step 5: Solve for x
    x = 29,446.75/258.52
  6. Step 6: Final answer
    x = 113.91

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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.