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Finding the Fourth Proportional to 206.99, 285.63 and 160.31

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Solution

The fourth proportional to 206.99, 285.63 and 160.31 is: 221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.99 : 285.63 = 160.31 : x
  2. Step 2: Convert to fraction form
    206.99/285.63 = 160.31/x
  3. Step 3: Cross multiply
    206.99x = 285.63 × 160.31
  4. Step 4: Simplify right side
    206.99x = 45,789.46
  5. Step 5: Solve for x
    x = 45,789.46/206.99
  6. Step 6: Final answer
    x = 221.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.