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Finding the Fourth Proportional to 180.05, 269.73 and 88.72

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Solution

The fourth proportional to 180.05, 269.73 and 88.72 is: 132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.05 : 269.73 = 88.72 : x
  2. Step 2: Convert to fraction form
    180.05/269.73 = 88.72/x
  3. Step 3: Cross multiply
    180.05x = 269.73 × 88.72
  4. Step 4: Simplify right side
    180.05x = 23,929.77
  5. Step 5: Solve for x
    x = 23,929.77/180.05
  6. Step 6: Final answer
    x = 132.91

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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.