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Finding the Fourth Proportional to 180.83, 249.53 and 106.15

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Solution

The fourth proportional to 180.83, 249.53 and 106.15 is: 146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.83 : 249.53 = 106.15 : x
  2. Step 2: Convert to fraction form
    180.83/249.53 = 106.15/x
  3. Step 3: Cross multiply
    180.83x = 249.53 × 106.15
  4. Step 4: Simplify right side
    180.83x = 26,487.61
  5. Step 5: Solve for x
    x = 26,487.61/180.83
  6. Step 6: Final answer
    x = 146.48

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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.