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Finding the Fourth Proportional to 219.11, 302.94 and 209.25

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Solution

The fourth proportional to 219.11, 302.94 and 209.25 is: 289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.11 : 302.94 = 209.25 : x
  2. Step 2: Convert to fraction form
    219.11/302.94 = 209.25/x
  3. Step 3: Cross multiply
    219.11x = 302.94 × 209.25
  4. Step 4: Simplify right side
    219.11x = 63,390.20
  5. Step 5: Solve for x
    x = 63,390.20/219.11
  6. Step 6: Final answer
    x = 289.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.