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Finding the Fourth Proportional to 140.56, 194.08 and 133.60

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Solution

The fourth proportional to 140.56, 194.08 and 133.60 is: 184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.56 : 194.08 = 133.60 : x
  2. Step 2: Convert to fraction form
    140.56/194.08 = 133.60/x
  3. Step 3: Cross multiply
    140.56x = 194.08 × 133.60
  4. Step 4: Simplify right side
    140.56x = 25,929.09
  5. Step 5: Solve for x
    x = 25,929.09/140.56
  6. Step 6: Final answer
    x = 184.47

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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.