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Finding the Fourth Proportional to 268, 369.86 and 164.52

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Solution

The fourth proportional to 268, 369.86 and 164.52 is: 227.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    268 : 369.86 = 164.52 : x
  2. Step 2: Convert to fraction form
    268/369.86 = 164.52/x
  3. Step 3: Cross multiply
    268x = 369.86 × 164.52
  4. Step 4: Simplify right side
    268x = 60,849.37
  5. Step 5: Solve for x
    x = 60,849.37/268
  6. Step 6: Final answer
    x = 227.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.