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Finding the Fourth Proportional to 248.92, 372.69 and 180.27

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Solution

The fourth proportional to 248.92, 372.69 and 180.27 is: 269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.92 : 372.69 = 180.27 : x
  2. Step 2: Convert to fraction form
    248.92/372.69 = 180.27/x
  3. Step 3: Cross multiply
    248.92x = 372.69 × 180.27
  4. Step 4: Simplify right side
    248.92x = 67,184.83
  5. Step 5: Solve for x
    x = 67,184.83/248.92
  6. Step 6: Final answer
    x = 269.91

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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.