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Finding the Fourth Proportional to 252.49, 379.02 and 175.78

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Solution

The fourth proportional to 252.49, 379.02 and 175.78 is: 263.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.49 : 379.02 = 175.78 : x
  2. Step 2: Convert to fraction form
    252.49/379.02 = 175.78/x
  3. Step 3: Cross multiply
    252.49x = 379.02 × 175.78
  4. Step 4: Simplify right side
    252.49x = 66,624.14
  5. Step 5: Solve for x
    x = 66,624.14/252.49
  6. Step 6: Final answer
    x = 263.87

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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.