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Finding the Fourth Proportional to 253.24, 379.86 and 144.96

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Solution

The fourth proportional to 253.24, 379.86 and 144.96 is: 217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.24 : 379.86 = 144.96 : x
  2. Step 2: Convert to fraction form
    253.24/379.86 = 144.96/x
  3. Step 3: Cross multiply
    253.24x = 379.86 × 144.96
  4. Step 4: Simplify right side
    253.24x = 55,062.97
  5. Step 5: Solve for x
    x = 55,062.97/253.24
  6. Step 6: Final answer
    x = 217.43

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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.