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Finding the Fourth Proportional to 222.23, 306.51 and 209.15

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Solution

The fourth proportional to 222.23, 306.51 and 209.15 is: 288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.23 : 306.51 = 209.15 : x
  2. Step 2: Convert to fraction form
    222.23/306.51 = 209.15/x
  3. Step 3: Cross multiply
    222.23x = 306.51 × 209.15
  4. Step 4: Simplify right side
    222.23x = 64,106.57
  5. Step 5: Solve for x
    x = 64,106.57/222.23
  6. Step 6: Final answer
    x = 288.47

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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.