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Finding the Fourth Proportional to 180.39, 249.57 and 147.60

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Solution

The fourth proportional to 180.39, 249.57 and 147.60 is: 204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.39 : 249.57 = 147.60 : x
  2. Step 2: Convert to fraction form
    180.39/249.57 = 147.60/x
  3. Step 3: Cross multiply
    180.39x = 249.57 × 147.60
  4. Step 4: Simplify right side
    180.39x = 36,836.53
  5. Step 5: Solve for x
    x = 36,836.53/180.39
  6. Step 6: Final answer
    x = 204.20

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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.