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Finding the Fourth Proportional to 293.49, 404.99 and 169.15

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Solution

The fourth proportional to 293.49, 404.99 and 169.15 is: 233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.49 : 404.99 = 169.15 : x
  2. Step 2: Convert to fraction form
    293.49/404.99 = 169.15/x
  3. Step 3: Cross multiply
    293.49x = 404.99 × 169.15
  4. Step 4: Simplify right side
    293.49x = 68,502.03
  5. Step 5: Solve for x
    x = 68,502.03/293.49
  6. Step 6: Final answer
    x = 233.41

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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.