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Finding the Fourth Proportional to 268.14, 399.71 and 265.26

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Solution

The fourth proportional to 268.14, 399.71 and 265.26 is: 395.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.14 : 399.71 = 265.26 : x
  2. Step 2: Convert to fraction form
    268.14/399.71 = 265.26/x
  3. Step 3: Cross multiply
    268.14x = 399.71 × 265.26
  4. Step 4: Simplify right side
    268.14x = 106,027.07
  5. Step 5: Solve for x
    x = 106,027.07/268.14
  6. Step 6: Final answer
    x = 395.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.