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Finding the Fourth Proportional to 150.93, 226.39 and 78.78

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Solution

The fourth proportional to 150.93, 226.39 and 78.78 is: 118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.93 : 226.39 = 78.78 : x
  2. Step 2: Convert to fraction form
    150.93/226.39 = 78.78/x
  3. Step 3: Cross multiply
    150.93x = 226.39 × 78.78
  4. Step 4: Simplify right side
    150.93x = 17,833.68
  5. Step 5: Solve for x
    x = 17,833.68/150.93
  6. Step 6: Final answer
    x = 118.16

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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.