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Finding the Fourth Proportional to 222, 305.94 and 204.57

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Solution

The fourth proportional to 222, 305.94 and 204.57 is: 281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    222 : 305.94 = 204.57 : x
  2. Step 2: Convert to fraction form
    222/305.94 = 204.57/x
  3. Step 3: Cross multiply
    222x = 305.94 × 204.57
  4. Step 4: Simplify right side
    222x = 62,586.15
  5. Step 5: Solve for x
    x = 62,586.15/222
  6. Step 6: Final answer
    x = 281.92

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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.