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Finding the Fourth Proportional to 262.77, 362.49 and 204.14

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Solution

The fourth proportional to 262.77, 362.49 and 204.14 is: 281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.77 : 362.49 = 204.14 : x
  2. Step 2: Convert to fraction form
    262.77/362.49 = 204.14/x
  3. Step 3: Cross multiply
    262.77x = 362.49 × 204.14
  4. Step 4: Simplify right side
    262.77x = 73,999.10
  5. Step 5: Solve for x
    x = 73,999.10/262.77
  6. Step 6: Final answer
    x = 281.62

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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.