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Finding the Fourth Proportional to 169.84, 255.85 and 144.76

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Solution

The fourth proportional to 169.84, 255.85 and 144.76 is: 218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.84 : 255.85 = 144.76 : x
  2. Step 2: Convert to fraction form
    169.84/255.85 = 144.76/x
  3. Step 3: Cross multiply
    169.84x = 255.85 × 144.76
  4. Step 4: Simplify right side
    169.84x = 37,036.85
  5. Step 5: Solve for x
    x = 37,036.85/169.84
  6. Step 6: Final answer
    x = 218.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.