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Finding the Fourth Proportional to 237.46, 327.48 and 209.83

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Solution

The fourth proportional to 237.46, 327.48 and 209.83 is: 289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.46 : 327.48 = 209.83 : x
  2. Step 2: Convert to fraction form
    237.46/327.48 = 209.83/x
  3. Step 3: Cross multiply
    237.46x = 327.48 × 209.83
  4. Step 4: Simplify right side
    237.46x = 68,715.13
  5. Step 5: Solve for x
    x = 68,715.13/237.46
  6. Step 6: Final answer
    x = 289.38

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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.