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Finding the Fourth Proportional to 180.22, 249.04 and 147.46

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Solution

The fourth proportional to 180.22, 249.04 and 147.46 is: 203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.22 : 249.04 = 147.46 : x
  2. Step 2: Convert to fraction form
    180.22/249.04 = 147.46/x
  3. Step 3: Cross multiply
    180.22x = 249.04 × 147.46
  4. Step 4: Simplify right side
    180.22x = 36,723.44
  5. Step 5: Solve for x
    x = 36,723.44/180.22
  6. Step 6: Final answer
    x = 203.77

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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.