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Finding the Fourth Proportional to 252.28, 378.28 and 144.08

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Solution

The fourth proportional to 252.28, 378.28 and 144.08 is: 216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.28 : 378.28 = 144.08 : x
  2. Step 2: Convert to fraction form
    252.28/378.28 = 144.08/x
  3. Step 3: Cross multiply
    252.28x = 378.28 × 144.08
  4. Step 4: Simplify right side
    252.28x = 54,502.58
  5. Step 5: Solve for x
    x = 54,502.58/252.28
  6. Step 6: Final answer
    x = 216.04

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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.