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Finding the Fourth Proportional to 263.27, 362.99 and 201.00

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Solution

The fourth proportional to 263.27, 362.99 and 201.00 is: 277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.27 : 362.99 = 201.00 : x
  2. Step 2: Convert to fraction form
    263.27/362.99 = 201.00/x
  3. Step 3: Cross multiply
    263.27x = 362.99 × 201.00
  4. Step 4: Simplify right side
    263.27x = 72,961.35
  5. Step 5: Solve for x
    x = 72,961.35/263.27
  6. Step 6: Final answer
    x = 277.13

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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.