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Finding the Fourth Proportional to 151, 208 and 121.84

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Solution

The fourth proportional to 151, 208 and 121.84 is: 167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    151 : 208 = 121.84 : x
  2. Step 2: Convert to fraction form
    151/208 = 121.84/x
  3. Step 3: Cross multiply
    151x = 208 × 121.84
  4. Step 4: Simplify right side
    151x = 25,342.72
  5. Step 5: Solve for x
    x = 25,342.72/151
  6. Step 6: Final answer
    x = 167.83

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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.