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Finding the Fourth Proportional to 155.57, 232.20 and 137.54

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Solution

The fourth proportional to 155.57, 232.20 and 137.54 is: 205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.57 : 232.20 = 137.54 : x
  2. Step 2: Convert to fraction form
    155.57/232.20 = 137.54/x
  3. Step 3: Cross multiply
    155.57x = 232.20 × 137.54
  4. Step 4: Simplify right side
    155.57x = 31,937.37
  5. Step 5: Solve for x
    x = 31,937.37/155.57
  6. Step 6: Final answer
    x = 205.30

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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.