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Finding the Fourth Proportional to 247.39, 369.51 and 178.37

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Solution

The fourth proportional to 247.39, 369.51 and 178.37 is: 266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.39 : 369.51 = 178.37 : x
  2. Step 2: Convert to fraction form
    247.39/369.51 = 178.37/x
  3. Step 3: Cross multiply
    247.39x = 369.51 × 178.37
  4. Step 4: Simplify right side
    247.39x = 65,909.37
  5. Step 5: Solve for x
    x = 65,909.37/247.39
  6. Step 6: Final answer
    x = 266.42

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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.