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Finding the Fourth Proportional to 221.49, 305.04 and 216.71

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Solution

The fourth proportional to 221.49, 305.04 and 216.71 is: 298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.49 : 305.04 = 216.71 : x
  2. Step 2: Convert to fraction form
    221.49/305.04 = 216.71/x
  3. Step 3: Cross multiply
    221.49x = 305.04 × 216.71
  4. Step 4: Simplify right side
    221.49x = 66,102.61
  5. Step 5: Solve for x
    x = 66,102.61/221.49
  6. Step 6: Final answer
    x = 298.45

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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.