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Finding the Fourth Proportional to 247.91, 342.14 and 165.02

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Solution

The fourth proportional to 247.91, 342.14 and 165.02 is: 227.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.91 : 342.14 = 165.02 : x
  2. Step 2: Convert to fraction form
    247.91/342.14 = 165.02/x
  3. Step 3: Cross multiply
    247.91x = 342.14 × 165.02
  4. Step 4: Simplify right side
    247.91x = 56,459.94
  5. Step 5: Solve for x
    x = 56,459.94/247.91
  6. Step 6: Final answer
    x = 227.74

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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.