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Finding the Fourth Proportional to 247.56, 341.58 and 164.80

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Solution

The fourth proportional to 247.56, 341.58 and 164.80 is: 227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.56 : 341.58 = 164.80 : x
  2. Step 2: Convert to fraction form
    247.56/341.58 = 164.80/x
  3. Step 3: Cross multiply
    247.56x = 341.58 × 164.80
  4. Step 4: Simplify right side
    247.56x = 56,292.38
  5. Step 5: Solve for x
    x = 56,292.38/247.56
  6. Step 6: Final answer
    x = 227.39

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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.