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Finding the Fourth Proportional to 203.90, 282.68 and 192.96

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Solution

The fourth proportional to 203.90, 282.68 and 192.96 is: 267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.90 : 282.68 = 192.96 : x
  2. Step 2: Convert to fraction form
    203.90/282.68 = 192.96/x
  3. Step 3: Cross multiply
    203.90x = 282.68 × 192.96
  4. Step 4: Simplify right side
    203.90x = 54,545.93
  5. Step 5: Solve for x
    x = 54,545.93/203.90
  6. Step 6: Final answer
    x = 267.51

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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.