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Finding the Fourth Proportional to 342.44, 513.81 and 169.11

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Solution

The fourth proportional to 342.44, 513.81 and 169.11 is: 253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.44 : 513.81 = 169.11 : x
  2. Step 2: Convert to fraction form
    342.44/513.81 = 169.11/x
  3. Step 3: Cross multiply
    342.44x = 513.81 × 169.11
  4. Step 4: Simplify right side
    342.44x = 86,890.41
  5. Step 5: Solve for x
    x = 86,890.41/342.44
  6. Step 6: Final answer
    x = 253.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.