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Finding the Fourth Proportional to 225.74, 311.39 and 160.13

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Solution

The fourth proportional to 225.74, 311.39 and 160.13 is: 220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.74 : 311.39 = 160.13 : x
  2. Step 2: Convert to fraction form
    225.74/311.39 = 160.13/x
  3. Step 3: Cross multiply
    225.74x = 311.39 × 160.13
  4. Step 4: Simplify right side
    225.74x = 49,860.52
  5. Step 5: Solve for x
    x = 49,860.52/225.74
  6. Step 6: Final answer
    x = 220.88

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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.