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Finding the Fourth Proportional to 247.68, 341.76 and 164.91

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Solution

The fourth proportional to 247.68, 341.76 and 164.91 is: 227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.68 : 341.76 = 164.91 : x
  2. Step 2: Convert to fraction form
    247.68/341.76 = 164.91/x
  3. Step 3: Cross multiply
    247.68x = 341.76 × 164.91
  4. Step 4: Simplify right side
    247.68x = 56,359.64
  5. Step 5: Solve for x
    x = 56,359.64/247.68
  6. Step 6: Final answer
    x = 227.55

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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.