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Finding the Fourth Proportional to 221.90, 306.51 and 194.18

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Solution

The fourth proportional to 221.90, 306.51 and 194.18 is: 268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.90 : 306.51 = 194.18 : x
  2. Step 2: Convert to fraction form
    221.90/306.51 = 194.18/x
  3. Step 3: Cross multiply
    221.90x = 306.51 × 194.18
  4. Step 4: Simplify right side
    221.90x = 59,518.11
  5. Step 5: Solve for x
    x = 59,518.11/221.90
  6. Step 6: Final answer
    x = 268.22

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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.