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Finding the Fourth Proportional to 180.17, 269.82 and 88.56

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Solution

The fourth proportional to 180.17, 269.82 and 88.56 is: 132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.17 : 269.82 = 88.56 : x
  2. Step 2: Convert to fraction form
    180.17/269.82 = 88.56/x
  3. Step 3: Cross multiply
    180.17x = 269.82 × 88.56
  4. Step 4: Simplify right side
    180.17x = 23,895.26
  5. Step 5: Solve for x
    x = 23,895.26/180.17
  6. Step 6: Final answer
    x = 132.63

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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.