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Finding the Fourth Proportional to 206.77, 285.28 and 162.97

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Solution

The fourth proportional to 206.77, 285.28 and 162.97 is: 224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.77 : 285.28 = 162.97 : x
  2. Step 2: Convert to fraction form
    206.77/285.28 = 162.97/x
  3. Step 3: Cross multiply
    206.77x = 285.28 × 162.97
  4. Step 4: Simplify right side
    206.77x = 46,492.08
  5. Step 5: Solve for x
    x = 46,492.08/206.77
  6. Step 6: Final answer
    x = 224.85

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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.