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Finding the Fourth Proportional to 252.48, 378.72 and 180.48

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Solution

The fourth proportional to 252.48, 378.72 and 180.48 is: 270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.48 : 378.72 = 180.48 : x
  2. Step 2: Convert to fraction form
    252.48/378.72 = 180.48/x
  3. Step 3: Cross multiply
    252.48x = 378.72 × 180.48
  4. Step 4: Simplify right side
    252.48x = 68,351.39
  5. Step 5: Solve for x
    x = 68,351.39/252.48
  6. Step 6: Final answer
    x = 270.72

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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.