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Finding the Fourth Proportional to 262.90, 363.09 and 204.59

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Solution

The fourth proportional to 262.90, 363.09 and 204.59 is: 282.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.90 : 363.09 = 204.59 : x
  2. Step 2: Convert to fraction form
    262.90/363.09 = 204.59/x
  3. Step 3: Cross multiply
    262.90x = 363.09 × 204.59
  4. Step 4: Simplify right side
    262.90x = 74,283.16
  5. Step 5: Solve for x
    x = 74,283.16/262.90
  6. Step 6: Final answer
    x = 282.55

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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.