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Finding the Fourth Proportional to 268.42, 368 and 263.56

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Solution

The fourth proportional to 268.42, 368 and 263.56 is: 361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.42 : 368 = 263.56 : x
  2. Step 2: Convert to fraction form
    268.42/368 = 263.56/x
  3. Step 3: Cross multiply
    268.42x = 368 × 263.56
  4. Step 4: Simplify right side
    268.42x = 96,990.08
  5. Step 5: Solve for x
    x = 96,990.08/268.42
  6. Step 6: Final answer
    x = 361.34

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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.