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Finding the Fourth Proportional to 150.68, 225.66 and 122.12

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Solution

The fourth proportional to 150.68, 225.66 and 122.12 is: 182.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.68 : 225.66 = 122.12 : x
  2. Step 2: Convert to fraction form
    150.68/225.66 = 122.12/x
  3. Step 3: Cross multiply
    150.68x = 225.66 × 122.12
  4. Step 4: Simplify right side
    150.68x = 27,557.60
  5. Step 5: Solve for x
    x = 27,557.60/150.68
  6. Step 6: Final answer
    x = 182.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.