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Finding the Fourth Proportional to 268.02, 369.76 and 163.06

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Solution

The fourth proportional to 268.02, 369.76 and 163.06 is: 224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.02 : 369.76 = 163.06 : x
  2. Step 2: Convert to fraction form
    268.02/369.76 = 163.06/x
  3. Step 3: Cross multiply
    268.02x = 369.76 × 163.06
  4. Step 4: Simplify right side
    268.02x = 60,293.07
  5. Step 5: Solve for x
    x = 60,293.07/268.02
  6. Step 6: Final answer
    x = 224.96

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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.