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Finding the Fourth Proportional to 151.08, 225.99 and 138.14

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Solution

The fourth proportional to 151.08, 225.99 and 138.14 is: 206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.08 : 225.99 = 138.14 : x
  2. Step 2: Convert to fraction form
    151.08/225.99 = 138.14/x
  3. Step 3: Cross multiply
    151.08x = 225.99 × 138.14
  4. Step 4: Simplify right side
    151.08x = 31,218.26
  5. Step 5: Solve for x
    x = 31,218.26/151.08
  6. Step 6: Final answer
    x = 206.63

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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.