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Finding the Fourth Proportional to 203.06, 280.38 and 192.86

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Solution

The fourth proportional to 203.06, 280.38 and 192.86 is: 266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.06 : 280.38 = 192.86 : x
  2. Step 2: Convert to fraction form
    203.06/280.38 = 192.86/x
  3. Step 3: Cross multiply
    203.06x = 280.38 × 192.86
  4. Step 4: Simplify right side
    203.06x = 54,074.79
  5. Step 5: Solve for x
    x = 54,074.79/203.06
  6. Step 6: Final answer
    x = 266.31

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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.