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Finding the Fourth Proportional to 236.71, 324.90 and 209.89

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Solution

The fourth proportional to 236.71, 324.90 and 209.89 is: 288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.71 : 324.90 = 209.89 : x
  2. Step 2: Convert to fraction form
    236.71/324.90 = 209.89/x
  3. Step 3: Cross multiply
    236.71x = 324.90 × 209.89
  4. Step 4: Simplify right side
    236.71x = 68,193.37
  5. Step 5: Solve for x
    x = 68,193.37/236.71
  6. Step 6: Final answer
    x = 288.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.