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Finding the Fourth Proportional to 149.65, 223.93 and 115.19

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Solution

The fourth proportional to 149.65, 223.93 and 115.19 is: 172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.65 : 223.93 = 115.19 : x
  2. Step 2: Convert to fraction form
    149.65/223.93 = 115.19/x
  3. Step 3: Cross multiply
    149.65x = 223.93 × 115.19
  4. Step 4: Simplify right side
    149.65x = 25,794.36
  5. Step 5: Solve for x
    x = 25,794.36/149.65
  6. Step 6: Final answer
    x = 172.37

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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.