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Finding the Fourth Proportional to 155.16, 231.83 and 149.78

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Solution

The fourth proportional to 155.16, 231.83 and 149.78 is: 223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.16 : 231.83 = 149.78 : x
  2. Step 2: Convert to fraction form
    155.16/231.83 = 149.78/x
  3. Step 3: Cross multiply
    155.16x = 231.83 × 149.78
  4. Step 4: Simplify right side
    155.16x = 34,721.59
  5. Step 5: Solve for x
    x = 34,721.59/155.16
  6. Step 6: Final answer
    x = 223.78

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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.