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Finding the Fourth Proportional to 179.25, 268.20 and 106.17

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Solution

The fourth proportional to 179.25, 268.20 and 106.17 is: 158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.25 : 268.20 = 106.17 : x
  2. Step 2: Convert to fraction form
    179.25/268.20 = 106.17/x
  3. Step 3: Cross multiply
    179.25x = 268.20 × 106.17
  4. Step 4: Simplify right side
    179.25x = 28,474.12
  5. Step 5: Solve for x
    x = 28,474.12/179.25
  6. Step 6: Final answer
    x = 158.85

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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.