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Finding the Fourth Proportional to 339.68, 509.33 and 120.22

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Solution

The fourth proportional to 339.68, 509.33 and 120.22 is: 180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.68 : 509.33 = 120.22 : x
  2. Step 2: Convert to fraction form
    339.68/509.33 = 120.22/x
  3. Step 3: Cross multiply
    339.68x = 509.33 × 120.22
  4. Step 4: Simplify right side
    339.68x = 61,230.68
  5. Step 5: Solve for x
    x = 61,230.68/339.68
  6. Step 6: Final answer
    x = 180.26

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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.