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Finding the Fourth Proportional to 180.57, 249.18 and 102.95

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Solution

The fourth proportional to 180.57, 249.18 and 102.95 is: 142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.57 : 249.18 = 102.95 : x
  2. Step 2: Convert to fraction form
    180.57/249.18 = 102.95/x
  3. Step 3: Cross multiply
    180.57x = 249.18 × 102.95
  4. Step 4: Simplify right side
    180.57x = 25,651.84
  5. Step 5: Solve for x
    x = 25,651.84/180.57
  6. Step 6: Final answer
    x = 142.06

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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.