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Finding the Fourth Proportional to 233.84, 349.08 and 226.24

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Solution

The fourth proportional to 233.84, 349.08 and 226.24 is: 337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.84 : 349.08 = 226.24 : x
  2. Step 2: Convert to fraction form
    233.84/349.08 = 226.24/x
  3. Step 3: Cross multiply
    233.84x = 349.08 × 226.24
  4. Step 4: Simplify right side
    233.84x = 78,975.86
  5. Step 5: Solve for x
    x = 78,975.86/233.84
  6. Step 6: Final answer
    x = 337.73

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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.