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Finding the Fourth Proportional to 180.16, 271.60 and 166.24

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Solution

The fourth proportional to 180.16, 271.60 and 166.24 is: 250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.16 : 271.60 = 166.24 : x
  2. Step 2: Convert to fraction form
    180.16/271.60 = 166.24/x
  3. Step 3: Cross multiply
    180.16x = 271.60 × 166.24
  4. Step 4: Simplify right side
    180.16x = 45,150.78
  5. Step 5: Solve for x
    x = 45,150.78/180.16
  6. Step 6: Final answer
    x = 250.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.