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Finding the Fourth Proportional to 180.55, 269.50 and 167.86

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Solution

The fourth proportional to 180.55, 269.50 and 167.86 is: 250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.55 : 269.50 = 167.86 : x
  2. Step 2: Convert to fraction form
    180.55/269.50 = 167.86/x
  3. Step 3: Cross multiply
    180.55x = 269.50 × 167.86
  4. Step 4: Simplify right side
    180.55x = 45,237.18
  5. Step 5: Solve for x
    x = 45,237.18/180.55
  6. Step 6: Final answer
    x = 250.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.