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Finding the Fourth Proportional to 151.47, 226.89 and 110.84

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Solution

The fourth proportional to 151.47, 226.89 and 110.84 is: 166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.47 : 226.89 = 110.84 : x
  2. Step 2: Convert to fraction form
    151.47/226.89 = 110.84/x
  3. Step 3: Cross multiply
    151.47x = 226.89 × 110.84
  4. Step 4: Simplify right side
    151.47x = 25,147.35
  5. Step 5: Solve for x
    x = 25,147.35/151.47
  6. Step 6: Final answer
    x = 166.02

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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.