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Finding the Fourth Proportional to 151.70, 226.50 and 120.92

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Solution

The fourth proportional to 151.70, 226.50 and 120.92 is: 180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.70 : 226.50 = 120.92 : x
  2. Step 2: Convert to fraction form
    151.70/226.50 = 120.92/x
  3. Step 3: Cross multiply
    151.70x = 226.50 × 120.92
  4. Step 4: Simplify right side
    151.70x = 27,388.38
  5. Step 5: Solve for x
    x = 27,388.38/151.70
  6. Step 6: Final answer
    x = 180.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.