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Finding the Fourth Proportional to 150.92, 208.20 and 111.67

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Solution

The fourth proportional to 150.92, 208.20 and 111.67 is: 154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.92 : 208.20 = 111.67 : x
  2. Step 2: Convert to fraction form
    150.92/208.20 = 111.67/x
  3. Step 3: Cross multiply
    150.92x = 208.20 × 111.67
  4. Step 4: Simplify right side
    150.92x = 23,248.09
  5. Step 5: Solve for x
    x = 23,248.09/150.92
  6. Step 6: Final answer
    x = 154.05

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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.