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Finding the Fourth Proportional to 204.74, 282.44 and 121.78

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Solution

The fourth proportional to 204.74, 282.44 and 121.78 is: 168.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.74 : 282.44 = 121.78 : x
  2. Step 2: Convert to fraction form
    204.74/282.44 = 121.78/x
  3. Step 3: Cross multiply
    204.74x = 282.44 × 121.78
  4. Step 4: Simplify right side
    204.74x = 34,395.54
  5. Step 5: Solve for x
    x = 34,395.54/204.74
  6. Step 6: Final answer
    x = 168.00

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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.