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Finding the Fourth Proportional to 151.42, 226.97 and 138.06

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Solution

The fourth proportional to 151.42, 226.97 and 138.06 is: 206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.42 : 226.97 = 138.06 : x
  2. Step 2: Convert to fraction form
    151.42/226.97 = 138.06/x
  3. Step 3: Cross multiply
    151.42x = 226.97 × 138.06
  4. Step 4: Simplify right side
    151.42x = 31,334.69
  5. Step 5: Solve for x
    x = 31,334.69/151.42
  6. Step 6: Final answer
    x = 206.94

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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.