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Finding the Fourth Proportional to 168.75, 233.06 and 149.31

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Solution

The fourth proportional to 168.75, 233.06 and 149.31 is: 206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.75 : 233.06 = 149.31 : x
  2. Step 2: Convert to fraction form
    168.75/233.06 = 149.31/x
  3. Step 3: Cross multiply
    168.75x = 233.06 × 149.31
  4. Step 4: Simplify right side
    168.75x = 34,798.19
  5. Step 5: Solve for x
    x = 34,798.19/168.75
  6. Step 6: Final answer
    x = 206.21

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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.