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Finding the Fourth Proportional to 342.85, 514.14 and 111.68

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Solution

The fourth proportional to 342.85, 514.14 and 111.68 is: 167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.85 : 514.14 = 111.68 : x
  2. Step 2: Convert to fraction form
    342.85/514.14 = 111.68/x
  3. Step 3: Cross multiply
    342.85x = 514.14 × 111.68
  4. Step 4: Simplify right side
    342.85x = 57,420.44
  5. Step 5: Solve for x
    x = 57,420.44/342.85
  6. Step 6: Final answer
    x = 167.48

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