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Finding the Fourth Proportional to 230.86, 344.02 and 224.26

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Solution

The fourth proportional to 230.86, 344.02 and 224.26 is: 334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.86 : 344.02 = 224.26 : x
  2. Step 2: Convert to fraction form
    230.86/344.02 = 224.26/x
  3. Step 3: Cross multiply
    230.86x = 344.02 × 224.26
  4. Step 4: Simplify right side
    230.86x = 77,149.93
  5. Step 5: Solve for x
    x = 77,149.93/230.86
  6. Step 6: Final answer
    x = 334.18

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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.