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Finding the Fourth Proportional to 237.69, 327.33 and 206.58

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Solution

The fourth proportional to 237.69, 327.33 and 206.58 is: 284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.69 : 327.33 = 206.58 : x
  2. Step 2: Convert to fraction form
    237.69/327.33 = 206.58/x
  3. Step 3: Cross multiply
    237.69x = 327.33 × 206.58
  4. Step 4: Simplify right side
    237.69x = 67,619.83
  5. Step 5: Solve for x
    x = 67,619.83/237.69
  6. Step 6: Final answer
    x = 284.49

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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.