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Finding the Fourth Proportional to 257.75, 355.70 and 180.17

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Solution

The fourth proportional to 257.75, 355.70 and 180.17 is: 248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.75 : 355.70 = 180.17 : x
  2. Step 2: Convert to fraction form
    257.75/355.70 = 180.17/x
  3. Step 3: Cross multiply
    257.75x = 355.70 × 180.17
  4. Step 4: Simplify right side
    257.75x = 64,085.57
  5. Step 5: Solve for x
    x = 64,085.57/257.75
  6. Step 6: Final answer
    x = 248.63

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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.