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Finding the Fourth Proportional to 180.87, 269.40 and 179.97

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Solution

The fourth proportional to 180.87, 269.40 and 179.97 is: 268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.87 : 269.40 = 179.97 : x
  2. Step 2: Convert to fraction form
    180.87/269.40 = 179.97/x
  3. Step 3: Cross multiply
    180.87x = 269.40 × 179.97
  4. Step 4: Simplify right side
    180.87x = 48,483.92
  5. Step 5: Solve for x
    x = 48,483.92/180.87
  6. Step 6: Final answer
    x = 268.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.