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Finding the Fourth Proportional to 148.55, 205.15 and 115.48

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Solution

The fourth proportional to 148.55, 205.15 and 115.48 is: 159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.55 : 205.15 = 115.48 : x
  2. Step 2: Convert to fraction form
    148.55/205.15 = 115.48/x
  3. Step 3: Cross multiply
    148.55x = 205.15 × 115.48
  4. Step 4: Simplify right side
    148.55x = 23,690.72
  5. Step 5: Solve for x
    x = 23,690.72/148.55
  6. Step 6: Final answer
    x = 159.48

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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.