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Finding the Fourth Proportional to 212.98, 294.08 and 166.30

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Solution

The fourth proportional to 212.98, 294.08 and 166.30 is: 229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.98 : 294.08 = 166.30 : x
  2. Step 2: Convert to fraction form
    212.98/294.08 = 166.30/x
  3. Step 3: Cross multiply
    212.98x = 294.08 × 166.30
  4. Step 4: Simplify right side
    212.98x = 48,906.53
  5. Step 5: Solve for x
    x = 48,906.53/212.98
  6. Step 6: Final answer
    x = 229.63

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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.