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Finding the Fourth Proportional to 285.77, 394.35 and 169.31

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Solution

The fourth proportional to 285.77, 394.35 and 169.31 is: 233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.77 : 394.35 = 169.31 : x
  2. Step 2: Convert to fraction form
    285.77/394.35 = 169.31/x
  3. Step 3: Cross multiply
    285.77x = 394.35 × 169.31
  4. Step 4: Simplify right side
    285.77x = 66,767.75
  5. Step 5: Solve for x
    x = 66,767.75/285.77
  6. Step 6: Final answer
    x = 233.64

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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.