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Finding the Fourth Proportional to 151.14, 226.49 and 102.27

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Solution

The fourth proportional to 151.14, 226.49 and 102.27 is: 153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.14 : 226.49 = 102.27 : x
  2. Step 2: Convert to fraction form
    151.14/226.49 = 102.27/x
  3. Step 3: Cross multiply
    151.14x = 226.49 × 102.27
  4. Step 4: Simplify right side
    151.14x = 23,162.62
  5. Step 5: Solve for x
    x = 23,162.62/151.14
  6. Step 6: Final answer
    x = 153.25

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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.