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Finding the Fourth Proportional to 179.97, 250.08 and 177.68

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Solution

The fourth proportional to 179.97, 250.08 and 177.68 is: 246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.97 : 250.08 = 177.68 : x
  2. Step 2: Convert to fraction form
    179.97/250.08 = 177.68/x
  3. Step 3: Cross multiply
    179.97x = 250.08 × 177.68
  4. Step 4: Simplify right side
    179.97x = 44,432.96
  5. Step 5: Solve for x
    x = 44,432.96/179.97
  6. Step 6: Final answer
    x = 246.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.