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Finding the Fourth Proportional to 140.48, 194.04 and 132.80

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Solution

The fourth proportional to 140.48, 194.04 and 132.80 is: 183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.48 : 194.04 = 132.80 : x
  2. Step 2: Convert to fraction form
    140.48/194.04 = 132.80/x
  3. Step 3: Cross multiply
    140.48x = 194.04 × 132.80
  4. Step 4: Simplify right side
    140.48x = 25,768.51
  5. Step 5: Solve for x
    x = 25,768.51/140.48
  6. Step 6: Final answer
    x = 183.43

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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.