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Finding the Fourth Proportional to 169.06, 232.89 and 144.58

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Solution

The fourth proportional to 169.06, 232.89 and 144.58 is: 199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.06 : 232.89 = 144.58 : x
  2. Step 2: Convert to fraction form
    169.06/232.89 = 144.58/x
  3. Step 3: Cross multiply
    169.06x = 232.89 × 144.58
  4. Step 4: Simplify right side
    169.06x = 33,671.24
  5. Step 5: Solve for x
    x = 33,671.24/169.06
  6. Step 6: Final answer
    x = 199.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.