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Finding the Fourth Proportional to 239.54, 330.50 and 146.32

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Solution

The fourth proportional to 239.54, 330.50 and 146.32 is: 201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.54 : 330.50 = 146.32 : x
  2. Step 2: Convert to fraction form
    239.54/330.50 = 146.32/x
  3. Step 3: Cross multiply
    239.54x = 330.50 × 146.32
  4. Step 4: Simplify right side
    239.54x = 48,358.30
  5. Step 5: Solve for x
    x = 48,358.30/239.54
  6. Step 6: Final answer
    x = 201.88

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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.