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Finding the Fourth Proportional to 258.24, 387.28 and 75.66

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Solution

The fourth proportional to 258.24, 387.28 and 75.66 is: 113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.24 : 387.28 = 75.66 : x
  2. Step 2: Convert to fraction form
    258.24/387.28 = 75.66/x
  3. Step 3: Cross multiply
    258.24x = 387.28 × 75.66
  4. Step 4: Simplify right side
    258.24x = 29,301.60
  5. Step 5: Solve for x
    x = 29,301.60/258.24
  6. Step 6: Final answer
    x = 113.47

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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.