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Finding the Fourth Proportional to 237.98, 327.65 and 207.30

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Solution

The fourth proportional to 237.98, 327.65 and 207.30 is: 285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.98 : 327.65 = 207.30 : x
  2. Step 2: Convert to fraction form
    237.98/327.65 = 207.30/x
  3. Step 3: Cross multiply
    237.98x = 327.65 × 207.30
  4. Step 4: Simplify right side
    237.98x = 67,921.85
  5. Step 5: Solve for x
    x = 67,921.85/237.98
  6. Step 6: Final answer
    x = 285.41

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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.