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Finding the Fourth Proportional to 150.85, 208.11 and 115.84

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Solution

The fourth proportional to 150.85, 208.11 and 115.84 is: 159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.85 : 208.11 = 115.84 : x
  2. Step 2: Convert to fraction form
    150.85/208.11 = 115.84/x
  3. Step 3: Cross multiply
    150.85x = 208.11 × 115.84
  4. Step 4: Simplify right side
    150.85x = 24,107.46
  5. Step 5: Solve for x
    x = 24,107.46/150.85
  6. Step 6: Final answer
    x = 159.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.