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Finding the Fourth Proportional to 285.63, 394.17 and 161.29

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Solution

The fourth proportional to 285.63, 394.17 and 161.29 is: 222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.63 : 394.17 = 161.29 : x
  2. Step 2: Convert to fraction form
    285.63/394.17 = 161.29/x
  3. Step 3: Cross multiply
    285.63x = 394.17 × 161.29
  4. Step 4: Simplify right side
    285.63x = 63,575.13
  5. Step 5: Solve for x
    x = 63,575.13/285.63
  6. Step 6: Final answer
    x = 222.58

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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.