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Finding the Fourth Proportional to 238.99, 329.80 and 140.76

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Solution

The fourth proportional to 238.99, 329.80 and 140.76 is: 194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.99 : 329.80 = 140.76 : x
  2. Step 2: Convert to fraction form
    238.99/329.80 = 140.76/x
  3. Step 3: Cross multiply
    238.99x = 329.80 × 140.76
  4. Step 4: Simplify right side
    238.99x = 46,422.65
  5. Step 5: Solve for x
    x = 46,422.65/238.99
  6. Step 6: Final answer
    x = 194.25

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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.