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Finding the Fourth Proportional to 224.33, 337.91 and 210.66

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Solution

The fourth proportional to 224.33, 337.91 and 210.66 is: 317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.33 : 337.91 = 210.66 : x
  2. Step 2: Convert to fraction form
    224.33/337.91 = 210.66/x
  3. Step 3: Cross multiply
    224.33x = 337.91 × 210.66
  4. Step 4: Simplify right side
    224.33x = 71,183.07
  5. Step 5: Solve for x
    x = 71,183.07/224.33
  6. Step 6: Final answer
    x = 317.32

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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.