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Finding the Fourth Proportional to 257.12, 385.69 and 83.79

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Solution

The fourth proportional to 257.12, 385.69 and 83.79 is: 125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.12 : 385.69 = 83.79 : x
  2. Step 2: Convert to fraction form
    257.12/385.69 = 83.79/x
  3. Step 3: Cross multiply
    257.12x = 385.69 × 83.79
  4. Step 4: Simplify right side
    257.12x = 32,316.97
  5. Step 5: Solve for x
    x = 32,316.97/257.12
  6. Step 6: Final answer
    x = 125.69

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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.