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Finding the Fourth Proportional to 239.35, 330.46 and 141.14

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Solution

The fourth proportional to 239.35, 330.46 and 141.14 is: 194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.35 : 330.46 = 141.14 : x
  2. Step 2: Convert to fraction form
    239.35/330.46 = 141.14/x
  3. Step 3: Cross multiply
    239.35x = 330.46 × 141.14
  4. Step 4: Simplify right side
    239.35x = 46,639.47
  5. Step 5: Solve for x
    x = 46,639.47/239.35
  6. Step 6: Final answer
    x = 194.86

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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.