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Finding the Fourth Proportional to 239.12, 330.06 and 145.86

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Solution

The fourth proportional to 239.12, 330.06 and 145.86 is: 201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.12 : 330.06 = 145.86 : x
  2. Step 2: Convert to fraction form
    239.12/330.06 = 145.86/x
  3. Step 3: Cross multiply
    239.12x = 330.06 × 145.86
  4. Step 4: Simplify right side
    239.12x = 48,142.55
  5. Step 5: Solve for x
    x = 48,142.55/239.12
  6. Step 6: Final answer
    x = 201.33

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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.