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Finding the Fourth Proportional to 225.87, 311.85 and 147.23

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Solution

The fourth proportional to 225.87, 311.85 and 147.23 is: 203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.87 : 311.85 = 147.23 : x
  2. Step 2: Convert to fraction form
    225.87/311.85 = 147.23/x
  3. Step 3: Cross multiply
    225.87x = 311.85 × 147.23
  4. Step 4: Simplify right side
    225.87x = 45,912.12
  5. Step 5: Solve for x
    x = 45,912.12/225.87
  6. Step 6: Final answer
    x = 203.27

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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.