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Finding the Fourth Proportional to 194.76, 270.18 and 192.11

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Solution

The fourth proportional to 194.76, 270.18 and 192.11 is: 266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.76 : 270.18 = 192.11 : x
  2. Step 2: Convert to fraction form
    194.76/270.18 = 192.11/x
  3. Step 3: Cross multiply
    194.76x = 270.18 × 192.11
  4. Step 4: Simplify right side
    194.76x = 51,902.93
  5. Step 5: Solve for x
    x = 51,902.93/194.76
  6. Step 6: Final answer
    x = 266.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.