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Finding the Fourth Proportional to 285.65, 394.16 and 161.29

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Solution

The fourth proportional to 285.65, 394.16 and 161.29 is: 222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.65 : 394.16 = 161.29 : x
  2. Step 2: Convert to fraction form
    285.65/394.16 = 161.29/x
  3. Step 3: Cross multiply
    285.65x = 394.16 × 161.29
  4. Step 4: Simplify right side
    285.65x = 63,572.27
  5. Step 5: Solve for x
    x = 63,572.27/285.65
  6. Step 6: Final answer
    x = 222.56

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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.