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Finding the Fourth Proportional to 258.50, 387.67 and 75.86

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Solution

The fourth proportional to 258.50, 387.67 and 75.86 is: 113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.50 : 387.67 = 75.86 : x
  2. Step 2: Convert to fraction form
    258.50/387.67 = 75.86/x
  3. Step 3: Cross multiply
    258.50x = 387.67 × 75.86
  4. Step 4: Simplify right side
    258.50x = 29,408.65
  5. Step 5: Solve for x
    x = 29,408.65/258.50
  6. Step 6: Final answer
    x = 113.77

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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.