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Finding the Fourth Proportional to 285.88, 394.38 and 169.42

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Solution

The fourth proportional to 285.88, 394.38 and 169.42 is: 233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.88 : 394.38 = 169.42 : x
  2. Step 2: Convert to fraction form
    285.88/394.38 = 169.42/x
  3. Step 3: Cross multiply
    285.88x = 394.38 × 169.42
  4. Step 4: Simplify right side
    285.88x = 66,815.86
  5. Step 5: Solve for x
    x = 66,815.86/285.88
  6. Step 6: Final answer
    x = 233.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.