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Finding the Fourth Proportional to 151.50, 226.74 and 111

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Solution

The fourth proportional to 151.50, 226.74 and 111 is: 166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.50 : 226.74 = 111 : x
  2. Step 2: Convert to fraction form
    151.50/226.74 = 111/x
  3. Step 3: Cross multiply
    151.50x = 226.74 × 111
  4. Step 4: Simplify right side
    151.50x = 25,168.14
  5. Step 5: Solve for x
    x = 25,168.14/151.50
  6. Step 6: Final answer
    x = 166.13

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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.