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Finding the Fourth Proportional to 225.76, 311.57 and 163.57

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Solution

The fourth proportional to 225.76, 311.57 and 163.57 is: 225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.76 : 311.57 = 163.57 : x
  2. Step 2: Convert to fraction form
    225.76/311.57 = 163.57/x
  3. Step 3: Cross multiply
    225.76x = 311.57 × 163.57
  4. Step 4: Simplify right side
    225.76x = 50,963.50
  5. Step 5: Solve for x
    x = 50,963.50/225.76
  6. Step 6: Final answer
    x = 225.74

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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.