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Finding the Fourth Proportional to 223.76, 337.74 and 223.76

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Solution

The fourth proportional to 223.76, 337.74 and 223.76 is: 337.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.76 : 337.74 = 223.76 : x
  2. Step 2: Convert to fraction form
    223.76/337.74 = 223.76/x
  3. Step 3: Cross multiply
    223.76x = 337.74 × 223.76
  4. Step 4: Simplify right side
    223.76x = 75,569.89
  5. Step 5: Solve for x
    x = 75,569.89/223.76
  6. Step 6: Final answer
    x = 337.74

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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.