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Finding the Fourth Proportional to 180.85, 249.51 and 114.46

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Solution

The fourth proportional to 180.85, 249.51 and 114.46 is: 157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.85 : 249.51 = 114.46 : x
  2. Step 2: Convert to fraction form
    180.85/249.51 = 114.46/x
  3. Step 3: Cross multiply
    180.85x = 249.51 × 114.46
  4. Step 4: Simplify right side
    180.85x = 28,558.91
  5. Step 5: Solve for x
    x = 28,558.91/180.85
  6. Step 6: Final answer
    x = 157.91

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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.