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Finding the Fourth Proportional to 180.54, 249.14 and 115.07

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Solution

The fourth proportional to 180.54, 249.14 and 115.07 is: 158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.54 : 249.14 = 115.07 : x
  2. Step 2: Convert to fraction form
    180.54/249.14 = 115.07/x
  3. Step 3: Cross multiply
    180.54x = 249.14 × 115.07
  4. Step 4: Simplify right side
    180.54x = 28,666.72
  5. Step 5: Solve for x
    x = 28,666.72/180.54
  6. Step 6: Final answer
    x = 158.78

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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.