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Finding the Fourth Proportional to 233.71, 348.29 and 226.67

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Solution

The fourth proportional to 233.71, 348.29 and 226.67 is: 337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.71 : 348.29 = 226.67 : x
  2. Step 2: Convert to fraction form
    233.71/348.29 = 226.67/x
  3. Step 3: Cross multiply
    233.71x = 348.29 × 226.67
  4. Step 4: Simplify right side
    233.71x = 78,947.91
  5. Step 5: Solve for x
    x = 78,947.91/233.71
  6. Step 6: Final answer
    x = 337.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.