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Finding the Fourth Proportional to 222.06, 305.82 and 204.75

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Solution

The fourth proportional to 222.06, 305.82 and 204.75 is: 281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.06 : 305.82 = 204.75 : x
  2. Step 2: Convert to fraction form
    222.06/305.82 = 204.75/x
  3. Step 3: Cross multiply
    222.06x = 305.82 × 204.75
  4. Step 4: Simplify right side
    222.06x = 62,616.65
  5. Step 5: Solve for x
    x = 62,616.65/222.06
  6. Step 6: Final answer
    x = 281.98

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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.