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Finding the Fourth Proportional to 257.84, 386.76 and 75.24

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Solution

The fourth proportional to 257.84, 386.76 and 75.24 is: 112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.84 : 386.76 = 75.24 : x
  2. Step 2: Convert to fraction form
    257.84/386.76 = 75.24/x
  3. Step 3: Cross multiply
    257.84x = 386.76 × 75.24
  4. Step 4: Simplify right side
    257.84x = 29,099.82
  5. Step 5: Solve for x
    x = 29,099.82/257.84
  6. Step 6: Final answer
    x = 112.86

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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.