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Finding the Fourth Proportional to 225.74, 311.85 and 178.96

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Solution

The fourth proportional to 225.74, 311.85 and 178.96 is: 247.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.74 : 311.85 = 178.96 : x
  2. Step 2: Convert to fraction form
    225.74/311.85 = 178.96/x
  3. Step 3: Cross multiply
    225.74x = 311.85 × 178.96
  4. Step 4: Simplify right side
    225.74x = 55,808.68
  5. Step 5: Solve for x
    x = 55,808.68/225.74
  6. Step 6: Final answer
    x = 247.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.