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Finding the Fourth Proportional to 285.22, 393.55 and 160.87

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Solution

The fourth proportional to 285.22, 393.55 and 160.87 is: 221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.22 : 393.55 = 160.87 : x
  2. Step 2: Convert to fraction form
    285.22/393.55 = 160.87/x
  3. Step 3: Cross multiply
    285.22x = 393.55 × 160.87
  4. Step 4: Simplify right side
    285.22x = 63,310.39
  5. Step 5: Solve for x
    x = 63,310.39/285.22
  6. Step 6: Final answer
    x = 221.97

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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.