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Finding the Fourth Proportional to 150.93, 208.71 and 122.31

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Solution

The fourth proportional to 150.93, 208.71 and 122.31 is: 169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.93 : 208.71 = 122.31 : x
  2. Step 2: Convert to fraction form
    150.93/208.71 = 122.31/x
  3. Step 3: Cross multiply
    150.93x = 208.71 × 122.31
  4. Step 4: Simplify right side
    150.93x = 25,527.32
  5. Step 5: Solve for x
    x = 25,527.32/150.93
  6. Step 6: Final answer
    x = 169.13

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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.