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Finding the Fourth Proportional to 204.22, 281.91 and 155.11

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Solution

The fourth proportional to 204.22, 281.91 and 155.11 is: 214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.22 : 281.91 = 155.11 : x
  2. Step 2: Convert to fraction form
    204.22/281.91 = 155.11/x
  3. Step 3: Cross multiply
    204.22x = 281.91 × 155.11
  4. Step 4: Simplify right side
    204.22x = 43,727.06
  5. Step 5: Solve for x
    x = 43,727.06/204.22
  6. Step 6: Final answer
    x = 214.12

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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.