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Finding the Fourth Proportional to 204.15, 281.37 and 148.77

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Solution

The fourth proportional to 204.15, 281.37 and 148.77 is: 205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.15 : 281.37 = 148.77 : x
  2. Step 2: Convert to fraction form
    204.15/281.37 = 148.77/x
  3. Step 3: Cross multiply
    204.15x = 281.37 × 148.77
  4. Step 4: Simplify right side
    204.15x = 41,859.97
  5. Step 5: Solve for x
    x = 41,859.97/204.15
  6. Step 6: Final answer
    x = 205.04

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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.