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Finding the Fourth Proportional to 239.41, 330.47 and 146.22

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Solution

The fourth proportional to 239.41, 330.47 and 146.22 is: 201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.41 : 330.47 = 146.22 : x
  2. Step 2: Convert to fraction form
    239.41/330.47 = 146.22/x
  3. Step 3: Cross multiply
    239.41x = 330.47 × 146.22
  4. Step 4: Simplify right side
    239.41x = 48,318.94
  5. Step 5: Solve for x
    x = 48,318.94/239.41
  6. Step 6: Final answer
    x = 201.83

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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.