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Finding the Fourth Proportional to 247.39, 341.41 and 164.50

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Solution

The fourth proportional to 247.39, 341.41 and 164.50 is: 227.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.39 : 341.41 = 164.50 : x
  2. Step 2: Convert to fraction form
    247.39/341.41 = 164.50/x
  3. Step 3: Cross multiply
    247.39x = 341.41 × 164.50
  4. Step 4: Simplify right side
    247.39x = 56,161.95
  5. Step 5: Solve for x
    x = 56,161.95/247.39
  6. Step 6: Final answer
    x = 227.02

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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.