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Finding the Fourth Proportional to 151.38, 209.07 and 149.36

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Solution

The fourth proportional to 151.38, 209.07 and 149.36 is: 206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.38 : 209.07 = 149.36 : x
  2. Step 2: Convert to fraction form
    151.38/209.07 = 149.36/x
  3. Step 3: Cross multiply
    151.38x = 209.07 × 149.36
  4. Step 4: Simplify right side
    151.38x = 31,226.70
  5. Step 5: Solve for x
    x = 31,226.70/151.38
  6. Step 6: Final answer
    x = 206.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.