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Finding the Fourth Proportional to 263.09, 362.87 and 193.13

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Solution

The fourth proportional to 263.09, 362.87 and 193.13 is: 266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.09 : 362.87 = 193.13 : x
  2. Step 2: Convert to fraction form
    263.09/362.87 = 193.13/x
  3. Step 3: Cross multiply
    263.09x = 362.87 × 193.13
  4. Step 4: Simplify right side
    263.09x = 70,079.27
  5. Step 5: Solve for x
    x = 70,079.27/263.09
  6. Step 6: Final answer
    x = 266.37

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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.