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Finding the Fourth Proportional to 180.24, 269.94 and 88.65

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Solution

The fourth proportional to 180.24, 269.94 and 88.65 is: 132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.24 : 269.94 = 88.65 : x
  2. Step 2: Convert to fraction form
    180.24/269.94 = 88.65/x
  3. Step 3: Cross multiply
    180.24x = 269.94 × 88.65
  4. Step 4: Simplify right side
    180.24x = 23,930.18
  5. Step 5: Solve for x
    x = 23,930.18/180.24
  6. Step 6: Final answer
    x = 132.77

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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.