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Finding the Fourth Proportional to 252.76, 348.80 and 179.20

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Solution

The fourth proportional to 252.76, 348.80 and 179.20 is: 247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.76 : 348.80 = 179.20 : x
  2. Step 2: Convert to fraction form
    252.76/348.80 = 179.20/x
  3. Step 3: Cross multiply
    252.76x = 348.80 × 179.20
  4. Step 4: Simplify right side
    252.76x = 62,504.96
  5. Step 5: Solve for x
    x = 62,504.96/252.76
  6. Step 6: Final answer
    x = 247.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.