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Finding the Fourth Proportional to 221.98, 305.85 and 210.22

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Solution

The fourth proportional to 221.98, 305.85 and 210.22 is: 289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.98 : 305.85 = 210.22 : x
  2. Step 2: Convert to fraction form
    221.98/305.85 = 210.22/x
  3. Step 3: Cross multiply
    221.98x = 305.85 × 210.22
  4. Step 4: Simplify right side
    221.98x = 64,295.79
  5. Step 5: Solve for x
    x = 64,295.79/221.98
  6. Step 6: Final answer
    x = 289.65

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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.