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Finding the Fourth Proportional to 223.93, 309.11 and 200.58

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Solution

The fourth proportional to 223.93, 309.11 and 200.58 is: 276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.93 : 309.11 = 200.58 : x
  2. Step 2: Convert to fraction form
    223.93/309.11 = 200.58/x
  3. Step 3: Cross multiply
    223.93x = 309.11 × 200.58
  4. Step 4: Simplify right side
    223.93x = 62,001.28
  5. Step 5: Solve for x
    x = 62,001.28/223.93
  6. Step 6: Final answer
    x = 276.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.