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Finding the Fourth Proportional to 247.30, 341.42 and 164.53

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Solution

The fourth proportional to 247.30, 341.42 and 164.53 is: 227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.30 : 341.42 = 164.53 : x
  2. Step 2: Convert to fraction form
    247.30/341.42 = 164.53/x
  3. Step 3: Cross multiply
    247.30x = 341.42 × 164.53
  4. Step 4: Simplify right side
    247.30x = 56,173.44
  5. Step 5: Solve for x
    x = 56,173.44/247.30
  6. Step 6: Final answer
    x = 227.14

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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.