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Finding the Fourth Proportional to 155.80, 232.49 and 138.54

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Solution

The fourth proportional to 155.80, 232.49 and 138.54 is: 206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.80 : 232.49 = 138.54 : x
  2. Step 2: Convert to fraction form
    155.80/232.49 = 138.54/x
  3. Step 3: Cross multiply
    155.80x = 232.49 × 138.54
  4. Step 4: Simplify right side
    155.80x = 32,209.16
  5. Step 5: Solve for x
    x = 32,209.16/155.80
  6. Step 6: Final answer
    x = 206.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.