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Finding the Fourth Proportional to 204.06, 281.61 and 110.81

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Solution

The fourth proportional to 204.06, 281.61 and 110.81 is: 152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.06 : 281.61 = 110.81 : x
  2. Step 2: Convert to fraction form
    204.06/281.61 = 110.81/x
  3. Step 3: Cross multiply
    204.06x = 281.61 × 110.81
  4. Step 4: Simplify right side
    204.06x = 31,204.92
  5. Step 5: Solve for x
    x = 31,204.92/204.06
  6. Step 6: Final answer
    x = 152.92

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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.