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Finding the Fourth Proportional to 342.06, 512.94 and 110.85

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Solution

The fourth proportional to 342.06, 512.94 and 110.85 is: 166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.06 : 512.94 = 110.85 : x
  2. Step 2: Convert to fraction form
    342.06/512.94 = 110.85/x
  3. Step 3: Cross multiply
    342.06x = 512.94 × 110.85
  4. Step 4: Simplify right side
    342.06x = 56,859.40
  5. Step 5: Solve for x
    x = 56,859.40/342.06
  6. Step 6: Final answer
    x = 166.23

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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.