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Finding the Fourth Proportional to 206.16, 285.12 and 193.92

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Solution

The fourth proportional to 206.16, 285.12 and 193.92 is: 268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.16 : 285.12 = 193.92 : x
  2. Step 2: Convert to fraction form
    206.16/285.12 = 193.92/x
  3. Step 3: Cross multiply
    206.16x = 285.12 × 193.92
  4. Step 4: Simplify right side
    206.16x = 55,290.47
  5. Step 5: Solve for x
    x = 55,290.47/206.16
  6. Step 6: Final answer
    x = 268.19

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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.