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Finding the Fourth Proportional to 178.86, 268.34 and 76.15

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Solution

The fourth proportional to 178.86, 268.34 and 76.15 is: 114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.86 : 268.34 = 76.15 : x
  2. Step 2: Convert to fraction form
    178.86/268.34 = 76.15/x
  3. Step 3: Cross multiply
    178.86x = 268.34 × 76.15
  4. Step 4: Simplify right side
    178.86x = 20,434.09
  5. Step 5: Solve for x
    x = 20,434.09/178.86
  6. Step 6: Final answer
    x = 114.25

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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.