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Finding the Fourth Proportional to 148.48, 205.85 and 140.28

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Solution

The fourth proportional to 148.48, 205.85 and 140.28 is: 194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.48 : 205.85 = 140.28 : x
  2. Step 2: Convert to fraction form
    148.48/205.85 = 140.28/x
  3. Step 3: Cross multiply
    148.48x = 205.85 × 140.28
  4. Step 4: Simplify right side
    148.48x = 28,876.64
  5. Step 5: Solve for x
    x = 28,876.64/148.48
  6. Step 6: Final answer
    x = 194.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.