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Finding the Fourth Proportional to 149.45, 223.83 and 115.02

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Solution

The fourth proportional to 149.45, 223.83 and 115.02 is: 172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.45 : 223.83 = 115.02 : x
  2. Step 2: Convert to fraction form
    149.45/223.83 = 115.02/x
  3. Step 3: Cross multiply
    149.45x = 223.83 × 115.02
  4. Step 4: Simplify right side
    149.45x = 25,744.93
  5. Step 5: Solve for x
    x = 25,744.93/149.45
  6. Step 6: Final answer
    x = 172.27

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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.