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Finding the Fourth Proportional to 203.90, 281.75 and 148.54

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Solution

The fourth proportional to 203.90, 281.75 and 148.54 is: 205.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.90 : 281.75 = 148.54 : x
  2. Step 2: Convert to fraction form
    203.90/281.75 = 148.54/x
  3. Step 3: Cross multiply
    203.90x = 281.75 × 148.54
  4. Step 4: Simplify right side
    203.90x = 41,851.52
  5. Step 5: Solve for x
    x = 41,851.52/203.90
  6. Step 6: Final answer
    x = 205.26

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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.