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Finding the Fourth Proportional to 257.72, 355.80 and 180.20

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Solution

The fourth proportional to 257.72, 355.80 and 180.20 is: 248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.72 : 355.80 = 180.20 : x
  2. Step 2: Convert to fraction form
    257.72/355.80 = 180.20/x
  3. Step 3: Cross multiply
    257.72x = 355.80 × 180.20
  4. Step 4: Simplify right side
    257.72x = 64,115.16
  5. Step 5: Solve for x
    x = 64,115.16/257.72
  6. Step 6: Final answer
    x = 248.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.