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Finding the Fourth Proportional to 233.63, 322.17 and 209.33

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Solution

The fourth proportional to 233.63, 322.17 and 209.33 is: 288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.63 : 322.17 = 209.33 : x
  2. Step 2: Convert to fraction form
    233.63/322.17 = 209.33/x
  3. Step 3: Cross multiply
    233.63x = 322.17 × 209.33
  4. Step 4: Simplify right side
    233.63x = 67,439.85
  5. Step 5: Solve for x
    x = 67,439.85/233.63
  6. Step 6: Final answer
    x = 288.66

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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.