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Finding the Fourth Proportional to 270.95, 373.11 and 192.27

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Solution

The fourth proportional to 270.95, 373.11 and 192.27 is: 264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.95 : 373.11 = 192.27 : x
  2. Step 2: Convert to fraction form
    270.95/373.11 = 192.27/x
  3. Step 3: Cross multiply
    270.95x = 373.11 × 192.27
  4. Step 4: Simplify right side
    270.95x = 71,738.54
  5. Step 5: Solve for x
    x = 71,738.54/270.95
  6. Step 6: Final answer
    x = 264.77

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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.