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Finding the Fourth Proportional to 285.30, 393.68 and 160.97

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Solution

The fourth proportional to 285.30, 393.68 and 160.97 is: 222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.30 : 393.68 = 160.97 : x
  2. Step 2: Convert to fraction form
    285.30/393.68 = 160.97/x
  3. Step 3: Cross multiply
    285.30x = 393.68 × 160.97
  4. Step 4: Simplify right side
    285.30x = 63,369.10
  5. Step 5: Solve for x
    x = 63,369.10/285.30
  6. Step 6: Final answer
    x = 222.11

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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.