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Finding the Fourth Proportional to 257.60, 386.24 and 95.20

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Solution

The fourth proportional to 257.60, 386.24 and 95.20 is: 142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.60 : 386.24 = 95.20 : x
  2. Step 2: Convert to fraction form
    257.60/386.24 = 95.20/x
  3. Step 3: Cross multiply
    257.60x = 386.24 × 95.20
  4. Step 4: Simplify right side
    257.60x = 36,770.05
  5. Step 5: Solve for x
    x = 36,770.05/257.60
  6. Step 6: Final answer
    x = 142.74

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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.