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Finding the Fourth Proportional to 342.82, 513.97 and 111.57

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Solution

The fourth proportional to 342.82, 513.97 and 111.57 is: 167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.82 : 513.97 = 111.57 : x
  2. Step 2: Convert to fraction form
    342.82/513.97 = 111.57/x
  3. Step 3: Cross multiply
    342.82x = 513.97 × 111.57
  4. Step 4: Simplify right side
    342.82x = 57,345.34
  5. Step 5: Solve for x
    x = 57,345.34/342.82
  6. Step 6: Final answer
    x = 167.27

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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.