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Finding the Fourth Proportional to 148.88, 203.80 and 144.20

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Solution

The fourth proportional to 148.88, 203.80 and 144.20 is: 197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.88 : 203.80 = 144.20 : x
  2. Step 2: Convert to fraction form
    148.88/203.80 = 144.20/x
  3. Step 3: Cross multiply
    148.88x = 203.80 × 144.20
  4. Step 4: Simplify right side
    148.88x = 29,387.96
  5. Step 5: Solve for x
    x = 29,387.96/148.88
  6. Step 6: Final answer
    x = 197.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.