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Finding the Fourth Proportional to 151.14, 226.29 and 119.10

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Solution

The fourth proportional to 151.14, 226.29 and 119.10 is: 178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.14 : 226.29 = 119.10 : x
  2. Step 2: Convert to fraction form
    151.14/226.29 = 119.10/x
  3. Step 3: Cross multiply
    151.14x = 226.29 × 119.10
  4. Step 4: Simplify right side
    151.14x = 26,951.14
  5. Step 5: Solve for x
    x = 26,951.14/151.14
  6. Step 6: Final answer
    x = 178.32

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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.