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Finding the Fourth Proportional to 178.79, 268.10 and 76.02

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Solution

The fourth proportional to 178.79, 268.10 and 76.02 is: 113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.79 : 268.10 = 76.02 : x
  2. Step 2: Convert to fraction form
    178.79/268.10 = 76.02/x
  3. Step 3: Cross multiply
    178.79x = 268.10 × 76.02
  4. Step 4: Simplify right side
    178.79x = 20,379.86
  5. Step 5: Solve for x
    x = 20,379.86/178.79
  6. Step 6: Final answer
    x = 113.99

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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.