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Finding the Fourth Proportional to 285.68, 394.24 and 169.24

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Solution

The fourth proportional to 285.68, 394.24 and 169.24 is: 233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.68 : 394.24 = 169.24 : x
  2. Step 2: Convert to fraction form
    285.68/394.24 = 169.24/x
  3. Step 3: Cross multiply
    285.68x = 394.24 × 169.24
  4. Step 4: Simplify right side
    285.68x = 66,721.18
  5. Step 5: Solve for x
    x = 66,721.18/285.68
  6. Step 6: Final answer
    x = 233.55

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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.