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Finding the Fourth Proportional to 180.24, 269.05 and 134.38

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Solution

The fourth proportional to 180.24, 269.05 and 134.38 is: 200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.24 : 269.05 = 134.38 : x
  2. Step 2: Convert to fraction form
    180.24/269.05 = 134.38/x
  3. Step 3: Cross multiply
    180.24x = 269.05 × 134.38
  4. Step 4: Simplify right side
    180.24x = 36,154.94
  5. Step 5: Solve for x
    x = 36,154.94/180.24
  6. Step 6: Final answer
    x = 200.59

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