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Finding the Fourth Proportional to 285.64, 394.17 and 169.18

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Solution

The fourth proportional to 285.64, 394.17 and 169.18 is: 233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.64 : 394.17 = 169.18 : x
  2. Step 2: Convert to fraction form
    285.64/394.17 = 169.18/x
  3. Step 3: Cross multiply
    285.64x = 394.17 × 169.18
  4. Step 4: Simplify right side
    285.64x = 66,685.68
  5. Step 5: Solve for x
    x = 66,685.68/285.64
  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.