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Finding the Fourth Proportional to 206.66, 285.50 and 165.17

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Solution

The fourth proportional to 206.66, 285.50 and 165.17 is: 228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.66 : 285.50 = 165.17 : x
  2. Step 2: Convert to fraction form
    206.66/285.50 = 165.17/x
  3. Step 3: Cross multiply
    206.66x = 285.50 × 165.17
  4. Step 4: Simplify right side
    206.66x = 47,157.16
  5. Step 5: Solve for x
    x = 47,157.16/206.66
  6. Step 6: Final answer
    x = 228.18

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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.