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Finding the Fourth Proportional to 180.46, 249.11 and 128.08

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Solution

The fourth proportional to 180.46, 249.11 and 128.08 is: 176.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.46 : 249.11 = 128.08 : x
  2. Step 2: Convert to fraction form
    180.46/249.11 = 128.08/x
  3. Step 3: Cross multiply
    180.46x = 249.11 × 128.08
  4. Step 4: Simplify right side
    180.46x = 31,906.01
  5. Step 5: Solve for x
    x = 31,906.01/180.46
  6. Step 6: Final answer
    x = 176.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.