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Finding the Fourth Proportional to 178.78, 268.07 and 75.96

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Solution

The fourth proportional to 178.78, 268.07 and 75.96 is: 113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.78 : 268.07 = 75.96 : x
  2. Step 2: Convert to fraction form
    178.78/268.07 = 75.96/x
  3. Step 3: Cross multiply
    178.78x = 268.07 × 75.96
  4. Step 4: Simplify right side
    178.78x = 20,362.60
  5. Step 5: Solve for x
    x = 20,362.60/178.78
  6. Step 6: Final answer
    x = 113.90

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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.