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Finding the Fourth Proportional to 179.24, 269.03 and 97.97

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Solution

The fourth proportional to 179.24, 269.03 and 97.97 is: 147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.24 : 269.03 = 97.97 : x
  2. Step 2: Convert to fraction form
    179.24/269.03 = 97.97/x
  3. Step 3: Cross multiply
    179.24x = 269.03 × 97.97
  4. Step 4: Simplify right side
    179.24x = 26,356.87
  5. Step 5: Solve for x
    x = 26,356.87/179.24
  6. Step 6: Final answer
    x = 147.05

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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.