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Finding the Fourth Proportional to 339.68, 509.24 and 108.42

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Solution

The fourth proportional to 339.68, 509.24 and 108.42 is: 162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.68 : 509.24 = 108.42 : x
  2. Step 2: Convert to fraction form
    339.68/509.24 = 108.42/x
  3. Step 3: Cross multiply
    339.68x = 509.24 × 108.42
  4. Step 4: Simplify right side
    339.68x = 55,212.42
  5. Step 5: Solve for x
    x = 55,212.42/339.68
  6. Step 6: Final answer
    x = 162.54

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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.