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Finding the Fourth Proportional to 180.17, 269.90 and 107.99

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Solution

The fourth proportional to 180.17, 269.90 and 107.99 is: 161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.17 : 269.90 = 107.99 : x
  2. Step 2: Convert to fraction form
    180.17/269.90 = 107.99/x
  3. Step 3: Cross multiply
    180.17x = 269.90 × 107.99
  4. Step 4: Simplify right side
    180.17x = 29,145.96
  5. Step 5: Solve for x
    x = 29,145.96/180.17
  6. Step 6: Final answer
    x = 161.77

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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.