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Finding the Fourth Proportional to 257.57, 385.85 and 159.84

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Solution

The fourth proportional to 257.57, 385.85 and 159.84 is: 239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.57 : 385.85 = 159.84 : x
  2. Step 2: Convert to fraction form
    257.57/385.85 = 159.84/x
  3. Step 3: Cross multiply
    257.57x = 385.85 × 159.84
  4. Step 4: Simplify right side
    257.57x = 61,673.46
  5. Step 5: Solve for x
    x = 61,673.46/257.57
  6. Step 6: Final answer
    x = 239.44

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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.