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Finding the Fourth Proportional to 225.44, 311.22 and 151.76

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Solution

The fourth proportional to 225.44, 311.22 and 151.76 is: 209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.44 : 311.22 = 151.76 : x
  2. Step 2: Convert to fraction form
    225.44/311.22 = 151.76/x
  3. Step 3: Cross multiply
    225.44x = 311.22 × 151.76
  4. Step 4: Simplify right side
    225.44x = 47,230.75
  5. Step 5: Solve for x
    x = 47,230.75/225.44
  6. Step 6: Final answer
    x = 209.50

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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.