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Finding the Fourth Proportional to 285.27, 393.63 and 167.27

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Solution

The fourth proportional to 285.27, 393.63 and 167.27 is: 230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.27 : 393.63 = 167.27 : x
  2. Step 2: Convert to fraction form
    285.27/393.63 = 167.27/x
  3. Step 3: Cross multiply
    285.27x = 393.63 × 167.27
  4. Step 4: Simplify right side
    285.27x = 65,842.49
  5. Step 5: Solve for x
    x = 65,842.49/285.27
  6. Step 6: Final answer
    x = 230.81

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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.