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Finding the Fourth Proportional to 221.79, 306.08 and 146.97

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Solution

The fourth proportional to 221.79, 306.08 and 146.97 is: 202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.79 : 306.08 = 146.97 : x
  2. Step 2: Convert to fraction form
    221.79/306.08 = 146.97/x
  3. Step 3: Cross multiply
    221.79x = 306.08 × 146.97
  4. Step 4: Simplify right side
    221.79x = 44,984.58
  5. Step 5: Solve for x
    x = 44,984.58/221.79
  6. Step 6: Final answer
    x = 202.83

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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.