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Finding the Fourth Proportional to 204.11, 281.77 and 148.82

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Solution

The fourth proportional to 204.11, 281.77 and 148.82 is: 205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.11 : 281.77 = 148.82 : x
  2. Step 2: Convert to fraction form
    204.11/281.77 = 148.82/x
  3. Step 3: Cross multiply
    204.11x = 281.77 × 148.82
  4. Step 4: Simplify right side
    204.11x = 41,933.34
  5. Step 5: Solve for x
    x = 41,933.34/204.11
  6. Step 6: Final answer
    x = 205.45

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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.