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Finding the Fourth Proportional to 224.17, 337.96 and 208.51

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Solution

The fourth proportional to 224.17, 337.96 and 208.51 is: 314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.17 : 337.96 = 208.51 : x
  2. Step 2: Convert to fraction form
    224.17/337.96 = 208.51/x
  3. Step 3: Cross multiply
    224.17x = 337.96 × 208.51
  4. Step 4: Simplify right side
    224.17x = 70,468.04
  5. Step 5: Solve for x
    x = 70,468.04/224.17
  6. Step 6: Final answer
    x = 314.35

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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.