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Finding the Fourth Proportional to 204.19, 281.75 and 120.17

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Solution

The fourth proportional to 204.19, 281.75 and 120.17 is: 165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.19 : 281.75 = 120.17 : x
  2. Step 2: Convert to fraction form
    204.19/281.75 = 120.17/x
  3. Step 3: Cross multiply
    204.19x = 281.75 × 120.17
  4. Step 4: Simplify right side
    204.19x = 33,858.90
  5. Step 5: Solve for x
    x = 33,858.90/204.19
  6. Step 6: Final answer
    x = 165.82

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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.