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Finding the Fourth Proportional to 219.27, 301.95 and 210.09

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Solution

The fourth proportional to 219.27, 301.95 and 210.09 is: 289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.27 : 301.95 = 210.09 : x
  2. Step 2: Convert to fraction form
    219.27/301.95 = 210.09/x
  3. Step 3: Cross multiply
    219.27x = 301.95 × 210.09
  4. Step 4: Simplify right side
    219.27x = 63,436.68
  5. Step 5: Solve for x
    x = 63,436.68/219.27
  6. Step 6: Final answer
    x = 289.31

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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.