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Finding the Fourth Proportional to 150.78, 208.17 and 115.74

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Solution

The fourth proportional to 150.78, 208.17 and 115.74 is: 159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.78 : 208.17 = 115.74 : x
  2. Step 2: Convert to fraction form
    150.78/208.17 = 115.74/x
  3. Step 3: Cross multiply
    150.78x = 208.17 × 115.74
  4. Step 4: Simplify right side
    150.78x = 24,093.60
  5. Step 5: Solve for x
    x = 24,093.60/150.78
  6. Step 6: Final answer
    x = 159.79

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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.