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Finding the Fourth Proportional to 180.83, 249.55 and 97.94

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Solution

The fourth proportional to 180.83, 249.55 and 97.94 is: 135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.83 : 249.55 = 97.94 : x
  2. Step 2: Convert to fraction form
    180.83/249.55 = 97.94/x
  3. Step 3: Cross multiply
    180.83x = 249.55 × 97.94
  4. Step 4: Simplify right side
    180.83x = 24,439.87
  5. Step 5: Solve for x
    x = 24,439.87/180.83
  6. Step 6: Final answer
    x = 135.15

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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.