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Finding the Fourth Proportional to 151.19, 226.38 and 120.68

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Solution

The fourth proportional to 151.19, 226.38 and 120.68 is: 180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.19 : 226.38 = 120.68 : x
  2. Step 2: Convert to fraction form
    151.19/226.38 = 120.68/x
  3. Step 3: Cross multiply
    151.19x = 226.38 × 120.68
  4. Step 4: Simplify right side
    151.19x = 27,319.54
  5. Step 5: Solve for x
    x = 27,319.54/151.19
  6. Step 6: Final answer
    x = 180.70

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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.