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Finding the Fourth Proportional to 179.18, 268.68 and 155.24

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Solution

The fourth proportional to 179.18, 268.68 and 155.24 is: 232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.18 : 268.68 = 155.24 : x
  2. Step 2: Convert to fraction form
    179.18/268.68 = 155.24/x
  3. Step 3: Cross multiply
    179.18x = 268.68 × 155.24
  4. Step 4: Simplify right side
    179.18x = 41,709.88
  5. Step 5: Solve for x
    x = 41,709.88/179.18
  6. Step 6: Final answer
    x = 232.78

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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.