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Finding the Fourth Proportional to 262.93, 363.15 and 204.31

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Solution

The fourth proportional to 262.93, 363.15 and 204.31 is: 282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.93 : 363.15 = 204.31 : x
  2. Step 2: Convert to fraction form
    262.93/363.15 = 204.31/x
  3. Step 3: Cross multiply
    262.93x = 363.15 × 204.31
  4. Step 4: Simplify right side
    262.93x = 74,195.18
  5. Step 5: Solve for x
    x = 74,195.18/262.93
  6. Step 6: Final answer
    x = 282.19

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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.