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Finding the Fourth Proportional to 252.32, 378.64 and 144

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Solution

The fourth proportional to 252.32, 378.64 and 144 is: 216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.32 : 378.64 = 144 : x
  2. Step 2: Convert to fraction form
    252.32/378.64 = 144/x
  3. Step 3: Cross multiply
    252.32x = 378.64 × 144
  4. Step 4: Simplify right side
    252.32x = 54,524.16
  5. Step 5: Solve for x
    x = 54,524.16/252.32
  6. Step 6: Final answer
    x = 216.09

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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.