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Finding the Fourth Proportional to 239.70, 330.78 and 141.48

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Solution

The fourth proportional to 239.70, 330.78 and 141.48 is: 195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.70 : 330.78 = 141.48 : x
  2. Step 2: Convert to fraction form
    239.70/330.78 = 141.48/x
  3. Step 3: Cross multiply
    239.70x = 330.78 × 141.48
  4. Step 4: Simplify right side
    239.70x = 46,798.75
  5. Step 5: Solve for x
    x = 46,798.75/239.70
  6. Step 6: Final answer
    x = 195.24

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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.