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Finding the Fourth Proportional to 285.74, 394.35 and 161.44

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Solution

The fourth proportional to 285.74, 394.35 and 161.44 is: 222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.74 : 394.35 = 161.44 : x
  2. Step 2: Convert to fraction form
    285.74/394.35 = 161.44/x
  3. Step 3: Cross multiply
    285.74x = 394.35 × 161.44
  4. Step 4: Simplify right side
    285.74x = 63,663.86
  5. Step 5: Solve for x
    x = 63,663.86/285.74
  6. Step 6: Final answer
    x = 222.81

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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.