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Finding the Fourth Proportional to 268.52, 401.76 and 164.03

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Solution

The fourth proportional to 268.52, 401.76 and 164.03 is: 245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.52 : 401.76 = 164.03 : x
  2. Step 2: Convert to fraction form
    268.52/401.76 = 164.03/x
  3. Step 3: Cross multiply
    268.52x = 401.76 × 164.03
  4. Step 4: Simplify right side
    268.52x = 65,900.69
  5. Step 5: Solve for x
    x = 65,900.69/268.52
  6. Step 6: Final answer
    x = 245.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.