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Finding the Fourth Proportional to 148.18, 203.40 and 131.44

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Solution

The fourth proportional to 148.18, 203.40 and 131.44 is: 180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.18 : 203.40 = 131.44 : x
  2. Step 2: Convert to fraction form
    148.18/203.40 = 131.44/x
  3. Step 3: Cross multiply
    148.18x = 203.40 × 131.44
  4. Step 4: Simplify right side
    148.18x = 26,734.90
  5. Step 5: Solve for x
    x = 26,734.90/148.18
  6. Step 6: Final answer
    x = 180.42

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