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Finding the Fourth Proportional to 179.76, 248.01 and 124.47

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Solution

The fourth proportional to 179.76, 248.01 and 124.47 is: 171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.76 : 248.01 = 124.47 : x
  2. Step 2: Convert to fraction form
    179.76/248.01 = 124.47/x
  3. Step 3: Cross multiply
    179.76x = 248.01 × 124.47
  4. Step 4: Simplify right side
    179.76x = 30,869.80
  5. Step 5: Solve for x
    x = 30,869.80/179.76
  6. Step 6: Final answer
    x = 171.73

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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.