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Finding the Fourth Proportional to 285.38, 393.76 and 167.32

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Solution

The fourth proportional to 285.38, 393.76 and 167.32 is: 230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.38 : 393.76 = 167.32 : x
  2. Step 2: Convert to fraction form
    285.38/393.76 = 167.32/x
  3. Step 3: Cross multiply
    285.38x = 393.76 × 167.32
  4. Step 4: Simplify right side
    285.38x = 65,883.92
  5. Step 5: Solve for x
    x = 65,883.92/285.38
  6. Step 6: Final answer
    x = 230.86

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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.