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Finding the Fourth Proportional to 239.96, 331.14 and 146.72

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Solution

The fourth proportional to 239.96, 331.14 and 146.72 is: 202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.96 : 331.14 = 146.72 : x
  2. Step 2: Convert to fraction form
    239.96/331.14 = 146.72/x
  3. Step 3: Cross multiply
    239.96x = 331.14 × 146.72
  4. Step 4: Simplify right side
    239.96x = 48,584.86
  5. Step 5: Solve for x
    x = 48,584.86/239.96
  6. Step 6: Final answer
    x = 202.47

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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.