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Finding the Fourth Proportional to 149.92, 223.56 and 146.27

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Solution

The fourth proportional to 149.92, 223.56 and 146.27 is: 218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.92 : 223.56 = 146.27 : x
  2. Step 2: Convert to fraction form
    149.92/223.56 = 146.27/x
  3. Step 3: Cross multiply
    149.92x = 223.56 × 146.27
  4. Step 4: Simplify right side
    149.92x = 32,700.68
  5. Step 5: Solve for x
    x = 32,700.68/149.92
  6. Step 6: Final answer
    x = 218.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.