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Finding the Fourth Proportional to 293.61, 405.16 and 169.18

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Solution

The fourth proportional to 293.61, 405.16 and 169.18 is: 233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.61 : 405.16 = 169.18 : x
  2. Step 2: Convert to fraction form
    293.61/405.16 = 169.18/x
  3. Step 3: Cross multiply
    293.61x = 405.16 × 169.18
  4. Step 4: Simplify right side
    293.61x = 68,544.97
  5. Step 5: Solve for x
    x = 68,544.97/293.61
  6. Step 6: Final answer
    x = 233.46

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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.