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Finding the Fourth Proportional to 203.85, 281.25 and 148.50

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Solution

The fourth proportional to 203.85, 281.25 and 148.50 is: 204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.85 : 281.25 = 148.50 : x
  2. Step 2: Convert to fraction form
    203.85/281.25 = 148.50/x
  3. Step 3: Cross multiply
    203.85x = 281.25 × 148.50
  4. Step 4: Simplify right side
    203.85x = 41,765.63
  5. Step 5: Solve for x
    x = 41,765.63/203.85
  6. Step 6: Final answer
    x = 204.88

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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.