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Finding the Fourth Proportional to 180.48, 249.05 and 106.79

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Solution

The fourth proportional to 180.48, 249.05 and 106.79 is: 147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.48 : 249.05 = 106.79 : x
  2. Step 2: Convert to fraction form
    180.48/249.05 = 106.79/x
  3. Step 3: Cross multiply
    180.48x = 249.05 × 106.79
  4. Step 4: Simplify right side
    180.48x = 26,596.05
  5. Step 5: Solve for x
    x = 26,596.05/180.48
  6. Step 6: Final answer
    x = 147.36

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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.