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Finding the Fourth Proportional to 339.75, 509.41 and 134.22

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Solution

The fourth proportional to 339.75, 509.41 and 134.22 is: 201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.75 : 509.41 = 134.22 : x
  2. Step 2: Convert to fraction form
    339.75/509.41 = 134.22/x
  3. Step 3: Cross multiply
    339.75x = 509.41 × 134.22
  4. Step 4: Simplify right side
    339.75x = 68,373.01
  5. Step 5: Solve for x
    x = 68,373.01/339.75
  6. Step 6: Final answer
    x = 201.25

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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.