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Finding the Fourth Proportional to 151.37, 209.66 and 141.46

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Solution

The fourth proportional to 151.37, 209.66 and 141.46 is: 195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.37 : 209.66 = 141.46 : x
  2. Step 2: Convert to fraction form
    151.37/209.66 = 141.46/x
  3. Step 3: Cross multiply
    151.37x = 209.66 × 141.46
  4. Step 4: Simplify right side
    151.37x = 29,657.80
  5. Step 5: Solve for x
    x = 29,657.80/151.37
  6. Step 6: Final answer
    x = 195.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.