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Finding the Fourth Proportional to 221.42, 332.59 and 209.17

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Solution

The fourth proportional to 221.42, 332.59 and 209.17 is: 314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.42 : 332.59 = 209.17 : x
  2. Step 2: Convert to fraction form
    221.42/332.59 = 209.17/x
  3. Step 3: Cross multiply
    221.42x = 332.59 × 209.17
  4. Step 4: Simplify right side
    221.42x = 69,567.85
  5. Step 5: Solve for x
    x = 69,567.85/221.42
  6. Step 6: Final answer
    x = 314.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.