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Finding the Fourth Proportional to 155.75, 232.25 and 144.59

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Solution

The fourth proportional to 155.75, 232.25 and 144.59 is: 215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.75 : 232.25 = 144.59 : x
  2. Step 2: Convert to fraction form
    155.75/232.25 = 144.59/x
  3. Step 3: Cross multiply
    155.75x = 232.25 × 144.59
  4. Step 4: Simplify right side
    155.75x = 33,581.03
  5. Step 5: Solve for x
    x = 33,581.03/155.75
  6. Step 6: Final answer
    x = 215.61

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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.