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Finding the Fourth Proportional to 178.97, 268.13 and 144.68

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Solution

The fourth proportional to 178.97, 268.13 and 144.68 is: 216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.97 : 268.13 = 144.68 : x
  2. Step 2: Convert to fraction form
    178.97/268.13 = 144.68/x
  3. Step 3: Cross multiply
    178.97x = 268.13 × 144.68
  4. Step 4: Simplify right side
    178.97x = 38,790.98
  5. Step 5: Solve for x
    x = 38,790.98/178.97
  6. Step 6: Final answer
    x = 216.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.