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Finding the Fourth Proportional to 180.67, 271.24 and 99.57

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Solution

The fourth proportional to 180.67, 271.24 and 99.57 is: 149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.67 : 271.24 = 99.57 : x
  2. Step 2: Convert to fraction form
    180.67/271.24 = 99.57/x
  3. Step 3: Cross multiply
    180.67x = 271.24 × 99.57
  4. Step 4: Simplify right side
    180.67x = 27,007.37
  5. Step 5: Solve for x
    x = 27,007.37/180.67
  6. Step 6: Final answer
    x = 149.48

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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.