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Finding the Fourth Proportional to 207.48, 285.96 and 160.80

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Solution

The fourth proportional to 207.48, 285.96 and 160.80 is: 221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.48 : 285.96 = 160.80 : x
  2. Step 2: Convert to fraction form
    207.48/285.96 = 160.80/x
  3. Step 3: Cross multiply
    207.48x = 285.96 × 160.80
  4. Step 4: Simplify right side
    207.48x = 45,982.37
  5. Step 5: Solve for x
    x = 45,982.37/207.48
  6. Step 6: Final answer
    x = 221.62

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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.