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Finding the Fourth Proportional to 230.45, 343.17 and 224.64

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Solution

The fourth proportional to 230.45, 343.17 and 224.64 is: 334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.45 : 343.17 = 224.64 : x
  2. Step 2: Convert to fraction form
    230.45/343.17 = 224.64/x
  3. Step 3: Cross multiply
    230.45x = 343.17 × 224.64
  4. Step 4: Simplify right side
    230.45x = 77,089.71
  5. Step 5: Solve for x
    x = 77,089.71/230.45
  6. Step 6: Final answer
    x = 334.53

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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.