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Finding the Fourth Proportional to 180.98, 249.81 and 115.66

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Solution

The fourth proportional to 180.98, 249.81 and 115.66 is: 159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.98 : 249.81 = 115.66 : x
  2. Step 2: Convert to fraction form
    180.98/249.81 = 115.66/x
  3. Step 3: Cross multiply
    180.98x = 249.81 × 115.66
  4. Step 4: Simplify right side
    180.98x = 28,893.02
  5. Step 5: Solve for x
    x = 28,893.02/180.98
  6. Step 6: Final answer
    x = 159.65

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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.