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Finding the Fourth Proportional to 224.16, 338.16 and 212.76

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Solution

The fourth proportional to 224.16, 338.16 and 212.76 is: 320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.16 : 338.16 = 212.76 : x
  2. Step 2: Convert to fraction form
    224.16/338.16 = 212.76/x
  3. Step 3: Cross multiply
    224.16x = 338.16 × 212.76
  4. Step 4: Simplify right side
    224.16x = 71,946.92
  5. Step 5: Solve for x
    x = 71,946.92/224.16
  6. Step 6: Final answer
    x = 320.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.