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Finding the Fourth Proportional to 233.74, 323.29 and 209.17

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Solution

The fourth proportional to 233.74, 323.29 and 209.17 is: 289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.74 : 323.29 = 209.17 : x
  2. Step 2: Convert to fraction form
    233.74/323.29 = 209.17/x
  3. Step 3: Cross multiply
    233.74x = 323.29 × 209.17
  4. Step 4: Simplify right side
    233.74x = 67,622.57
  5. Step 5: Solve for x
    x = 67,622.57/233.74
  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.