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Finding the Fourth Proportional to 233.91, 322.04 and 204.78

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Solution

The fourth proportional to 233.91, 322.04 and 204.78 is: 281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.91 : 322.04 = 204.78 : x
  2. Step 2: Convert to fraction form
    233.91/322.04 = 204.78/x
  3. Step 3: Cross multiply
    233.91x = 322.04 × 204.78
  4. Step 4: Simplify right side
    233.91x = 65,947.35
  5. Step 5: Solve for x
    x = 65,947.35/233.91
  6. Step 6: Final answer
    x = 281.93

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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.