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Finding the Fourth Proportional to 223.20, 308.10 and 201.36

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Solution

The fourth proportional to 223.20, 308.10 and 201.36 is: 277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.20 : 308.10 = 201.36 : x
  2. Step 2: Convert to fraction form
    223.20/308.10 = 201.36/x
  3. Step 3: Cross multiply
    223.20x = 308.10 × 201.36
  4. Step 4: Simplify right side
    223.20x = 62,039.02
  5. Step 5: Solve for x
    x = 62,039.02/223.20
  6. Step 6: Final answer
    x = 277.95

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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.