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Finding the Fourth Proportional to 180.78, 249.47 and 107.12

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Solution

The fourth proportional to 180.78, 249.47 and 107.12 is: 147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.78 : 249.47 = 107.12 : x
  2. Step 2: Convert to fraction form
    180.78/249.47 = 107.12/x
  3. Step 3: Cross multiply
    180.78x = 249.47 × 107.12
  4. Step 4: Simplify right side
    180.78x = 26,723.23
  5. Step 5: Solve for x
    x = 26,723.23/180.78
  6. Step 6: Final answer
    x = 147.82

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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.