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Finding the Fourth Proportional to 237.37, 327.45 and 206.25

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Solution

The fourth proportional to 237.37, 327.45 and 206.25 is: 284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.37 : 327.45 = 206.25 : x
  2. Step 2: Convert to fraction form
    237.37/327.45 = 206.25/x
  3. Step 3: Cross multiply
    237.37x = 327.45 × 206.25
  4. Step 4: Simplify right side
    237.37x = 67,536.56
  5. Step 5: Solve for x
    x = 67,536.56/237.37
  6. Step 6: Final answer
    x = 284.52

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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.