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Finding the Fourth Proportional to 285.56, 394.12 and 169.20

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Solution

The fourth proportional to 285.56, 394.12 and 169.20 is: 233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.56 : 394.12 = 169.20 : x
  2. Step 2: Convert to fraction form
    285.56/394.12 = 169.20/x
  3. Step 3: Cross multiply
    285.56x = 394.12 × 169.20
  4. Step 4: Simplify right side
    285.56x = 66,685.10
  5. Step 5: Solve for x
    x = 66,685.10/285.56
  6. Step 6: Final answer
    x = 233.52

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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.