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Finding the Fourth Proportional to 232.50, 350.76 and 226.02

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Solution

The fourth proportional to 232.50, 350.76 and 226.02 is: 340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.50 : 350.76 = 226.02 : x
  2. Step 2: Convert to fraction form
    232.50/350.76 = 226.02/x
  3. Step 3: Cross multiply
    232.50x = 350.76 × 226.02
  4. Step 4: Simplify right side
    232.50x = 79,278.78
  5. Step 5: Solve for x
    x = 79,278.78/232.50
  6. Step 6: Final answer
    x = 340.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.