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Finding the Fourth Proportional to 180.16, 269.85 and 107.86

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Solution

The fourth proportional to 180.16, 269.85 and 107.86 is: 161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.16 : 269.85 = 107.86 : x
  2. Step 2: Convert to fraction form
    180.16/269.85 = 107.86/x
  3. Step 3: Cross multiply
    180.16x = 269.85 × 107.86
  4. Step 4: Simplify right side
    180.16x = 29,106.02
  5. Step 5: Solve for x
    x = 29,106.02/180.16
  6. Step 6: Final answer
    x = 161.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.