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Finding the Fourth Proportional to 263.88, 361.62 and 237.96

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Solution

The fourth proportional to 263.88, 361.62 and 237.96 is: 326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.88 : 361.62 = 237.96 : x
  2. Step 2: Convert to fraction form
    263.88/361.62 = 237.96/x
  3. Step 3: Cross multiply
    263.88x = 361.62 × 237.96
  4. Step 4: Simplify right side
    263.88x = 86,051.10
  5. Step 5: Solve for x
    x = 86,051.10/263.88
  6. Step 6: Final answer
    x = 326.10

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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.