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Finding the Fourth Proportional to 150.82, 208.14 and 92.62

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Solution

The fourth proportional to 150.82, 208.14 and 92.62 is: 127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.82 : 208.14 = 92.62 : x
  2. Step 2: Convert to fraction form
    150.82/208.14 = 92.62/x
  3. Step 3: Cross multiply
    150.82x = 208.14 × 92.62
  4. Step 4: Simplify right side
    150.82x = 19,277.93
  5. Step 5: Solve for x
    x = 19,277.93/150.82
  6. Step 6: Final answer
    x = 127.82

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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.