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Finding the Fourth Proportional to 150.83, 208.17 and 91.83

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Solution

The fourth proportional to 150.83, 208.17 and 91.83 is: 126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.83 : 208.17 = 91.83 : x
  2. Step 2: Convert to fraction form
    150.83/208.17 = 91.83/x
  3. Step 3: Cross multiply
    150.83x = 208.17 × 91.83
  4. Step 4: Simplify right side
    150.83x = 19,116.25
  5. Step 5: Solve for x
    x = 19,116.25/150.83
  6. Step 6: Final answer
    x = 126.74

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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.