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Finding the Fourth Proportional to 285.47, 393.97 and 161.15

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Solution

The fourth proportional to 285.47, 393.97 and 161.15 is: 222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.47 : 393.97 = 161.15 : x
  2. Step 2: Convert to fraction form
    285.47/393.97 = 161.15/x
  3. Step 3: Cross multiply
    285.47x = 393.97 × 161.15
  4. Step 4: Simplify right side
    285.47x = 63,487.46
  5. Step 5: Solve for x
    x = 63,487.46/285.47
  6. Step 6: Final answer
    x = 222.40

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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.