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Finding the Fourth Proportional to 179.18, 268.16 and 107.09

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Solution

The fourth proportional to 179.18, 268.16 and 107.09 is: 160.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.18 : 268.16 = 107.09 : x
  2. Step 2: Convert to fraction form
    179.18/268.16 = 107.09/x
  3. Step 3: Cross multiply
    179.18x = 268.16 × 107.09
  4. Step 4: Simplify right side
    179.18x = 28,715.38
  5. Step 5: Solve for x
    x = 28,715.38/179.18
  6. Step 6: Final answer
    x = 160.26

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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.