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Finding the Fourth Proportional to 220, 302.76 and 195.44

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Solution

The fourth proportional to 220, 302.76 and 195.44 is: 268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    220 : 302.76 = 195.44 : x
  2. Step 2: Convert to fraction form
    220/302.76 = 195.44/x
  3. Step 3: Cross multiply
    220x = 302.76 × 195.44
  4. Step 4: Simplify right side
    220x = 59,171.41
  5. Step 5: Solve for x
    x = 59,171.41/220
  6. Step 6: Final answer
    x = 268.96

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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.