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Finding the Fourth Proportional to 221.65, 306.00 and 204.08

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Solution

The fourth proportional to 221.65, 306.00 and 204.08 is: 281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.65 : 306.00 = 204.08 : x
  2. Step 2: Convert to fraction form
    221.65/306.00 = 204.08/x
  3. Step 3: Cross multiply
    221.65x = 306.00 × 204.08
  4. Step 4: Simplify right side
    221.65x = 62,447.46
  5. Step 5: Solve for x
    x = 62,447.46/221.65
  6. Step 6: Final answer
    x = 281.75

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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.