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Finding the Fourth Proportional to 233.34, 348.10 and 226.72

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Solution

The fourth proportional to 233.34, 348.10 and 226.72 is: 338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.34 : 348.10 = 226.72 : x
  2. Step 2: Convert to fraction form
    233.34/348.10 = 226.72/x
  3. Step 3: Cross multiply
    233.34x = 348.10 × 226.72
  4. Step 4: Simplify right side
    233.34x = 78,921.23
  5. Step 5: Solve for x
    x = 78,921.23/233.34
  6. Step 6: Final answer
    x = 338.22

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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.