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Finding the Fourth Proportional to 221.26, 304.80 and 209.50

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Solution

The fourth proportional to 221.26, 304.80 and 209.50 is: 288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.26 : 304.80 = 209.50 : x
  2. Step 2: Convert to fraction form
    221.26/304.80 = 209.50/x
  3. Step 3: Cross multiply
    221.26x = 304.80 × 209.50
  4. Step 4: Simplify right side
    221.26x = 63,855.60
  5. Step 5: Solve for x
    x = 63,855.60/221.26
  6. Step 6: Final answer
    x = 288.60

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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.