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Finding the Fourth Proportional to 257.52, 385.97 and 180.06

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Solution

The fourth proportional to 257.52, 385.97 and 180.06 is: 269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.52 : 385.97 = 180.06 : x
  2. Step 2: Convert to fraction form
    257.52/385.97 = 180.06/x
  3. Step 3: Cross multiply
    257.52x = 385.97 × 180.06
  4. Step 4: Simplify right side
    257.52x = 69,497.76
  5. Step 5: Solve for x
    x = 69,497.76/257.52
  6. Step 6: Final answer
    x = 269.87

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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.