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Finding the Fourth Proportional to 224.97, 335.72 and 214.04

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Solution

The fourth proportional to 224.97, 335.72 and 214.04 is: 319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.97 : 335.72 = 214.04 : x
  2. Step 2: Convert to fraction form
    224.97/335.72 = 214.04/x
  3. Step 3: Cross multiply
    224.97x = 335.72 × 214.04
  4. Step 4: Simplify right side
    224.97x = 71,854.76
  5. Step 5: Solve for x
    x = 71,854.76/224.97
  6. Step 6: Final answer
    x = 319.40

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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.