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Finding the Fourth Proportional to 224.07, 337.76 and 204.63

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Solution

The fourth proportional to 224.07, 337.76 and 204.63 is: 308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.07 : 337.76 = 204.63 : x
  2. Step 2: Convert to fraction form
    224.07/337.76 = 204.63/x
  3. Step 3: Cross multiply
    224.07x = 337.76 × 204.63
  4. Step 4: Simplify right side
    224.07x = 69,116.34
  5. Step 5: Solve for x
    x = 69,116.34/224.07
  6. Step 6: Final answer
    x = 308.46

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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.