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Finding the Fourth Proportional to 148.26, 204.31 and 115.45

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Solution

The fourth proportional to 148.26, 204.31 and 115.45 is: 159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.26 : 204.31 = 115.45 : x
  2. Step 2: Convert to fraction form
    148.26/204.31 = 115.45/x
  3. Step 3: Cross multiply
    148.26x = 204.31 × 115.45
  4. Step 4: Simplify right side
    148.26x = 23,587.01
  5. Step 5: Solve for x
    x = 23,587.01/148.26
  6. Step 6: Final answer
    x = 159.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.