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Finding the Fourth Proportional to 263.12, 361.77 and 232.08

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Solution

The fourth proportional to 263.12, 361.77 and 232.08 is: 319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.12 : 361.77 = 232.08 : x
  2. Step 2: Convert to fraction form
    263.12/361.77 = 232.08/x
  3. Step 3: Cross multiply
    263.12x = 361.77 × 232.08
  4. Step 4: Simplify right side
    263.12x = 83,959.58
  5. Step 5: Solve for x
    x = 83,959.58/263.12
  6. Step 6: Final answer
    x = 319.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.