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Finding the Fourth Proportional to 237.54, 326.07 and 210.73

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Solution

The fourth proportional to 237.54, 326.07 and 210.73 is: 289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.54 : 326.07 = 210.73 : x
  2. Step 2: Convert to fraction form
    237.54/326.07 = 210.73/x
  3. Step 3: Cross multiply
    237.54x = 326.07 × 210.73
  4. Step 4: Simplify right side
    237.54x = 68,711.83
  5. Step 5: Solve for x
    x = 68,711.83/237.54
  6. Step 6: Final answer
    x = 289.26

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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.