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Finding the Fourth Proportional to 151.02, 226.02 and 120.42

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Solution

The fourth proportional to 151.02, 226.02 and 120.42 is: 180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.02 : 226.02 = 120.42 : x
  2. Step 2: Convert to fraction form
    151.02/226.02 = 120.42/x
  3. Step 3: Cross multiply
    151.02x = 226.02 × 120.42
  4. Step 4: Simplify right side
    151.02x = 27,217.33
  5. Step 5: Solve for x
    x = 27,217.33/151.02
  6. Step 6: Final answer
    x = 180.22

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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.