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Finding the Fourth Proportional to 180.62, 249.01 and 151.15

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Solution

The fourth proportional to 180.62, 249.01 and 151.15 is: 208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.62 : 249.01 = 151.15 : x
  2. Step 2: Convert to fraction form
    180.62/249.01 = 151.15/x
  3. Step 3: Cross multiply
    180.62x = 249.01 × 151.15
  4. Step 4: Simplify right side
    180.62x = 37,635.86
  5. Step 5: Solve for x
    x = 37,635.86/180.62
  6. Step 6: Final answer
    x = 208.38

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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.