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Finding the Fourth Proportional to 140.41, 193.28 and 134.94

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Solution

The fourth proportional to 140.41, 193.28 and 134.94 is: 185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.41 : 193.28 = 134.94 : x
  2. Step 2: Convert to fraction form
    140.41/193.28 = 134.94/x
  3. Step 3: Cross multiply
    140.41x = 193.28 × 134.94
  4. Step 4: Simplify right side
    140.41x = 26,081.20
  5. Step 5: Solve for x
    x = 26,081.20/140.41
  6. Step 6: Final answer
    x = 185.75

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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.