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Finding the Fourth Proportional to 257.73, 386.56 and 84.52

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Solution

The fourth proportional to 257.73, 386.56 and 84.52 is: 126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.73 : 386.56 = 84.52 : x
  2. Step 2: Convert to fraction form
    257.73/386.56 = 84.52/x
  3. Step 3: Cross multiply
    257.73x = 386.56 × 84.52
  4. Step 4: Simplify right side
    257.73x = 32,671.43
  5. Step 5: Solve for x
    x = 32,671.43/257.73
  6. Step 6: Final answer
    x = 126.77

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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.