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Finding the Fourth Proportional to 268.34, 367.78 and 265.26

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Solution

The fourth proportional to 268.34, 367.78 and 265.26 is: 363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.34 : 367.78 = 265.26 : x
  2. Step 2: Convert to fraction form
    268.34/367.78 = 265.26/x
  3. Step 3: Cross multiply
    268.34x = 367.78 × 265.26
  4. Step 4: Simplify right side
    268.34x = 97,557.32
  5. Step 5: Solve for x
    x = 97,557.32/268.34
  6. Step 6: Final answer
    x = 363.56

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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.