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Finding the Fourth Proportional to 224.66, 337.81 and 206.84

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Solution

The fourth proportional to 224.66, 337.81 and 206.84 is: 311.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.66 : 337.81 = 206.84 : x
  2. Step 2: Convert to fraction form
    224.66/337.81 = 206.84/x
  3. Step 3: Cross multiply
    224.66x = 337.81 × 206.84
  4. Step 4: Simplify right side
    224.66x = 69,872.62
  5. Step 5: Solve for x
    x = 69,872.62/224.66
  6. Step 6: Final answer
    x = 311.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.