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Finding the Fourth Proportional to 225.99, 311.85 and 160.79

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Solution

The fourth proportional to 225.99, 311.85 and 160.79 is: 221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.99 : 311.85 = 160.79 : x
  2. Step 2: Convert to fraction form
    225.99/311.85 = 160.79/x
  3. Step 3: Cross multiply
    225.99x = 311.85 × 160.79
  4. Step 4: Simplify right side
    225.99x = 50,140.80
  5. Step 5: Solve for x
    x = 50,140.80/225.99
  6. Step 6: Final answer
    x = 221.87

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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.