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Finding the Fourth Proportional to 339.86, 509.90 and 134.53

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Solution

The fourth proportional to 339.86, 509.90 and 134.53 is: 201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.86 : 509.90 = 134.53 : x
  2. Step 2: Convert to fraction form
    339.86/509.90 = 134.53/x
  3. Step 3: Cross multiply
    339.86x = 509.90 × 134.53
  4. Step 4: Simplify right side
    339.86x = 68,594.90
  5. Step 5: Solve for x
    x = 68,594.90/339.86
  6. Step 6: Final answer
    x = 201.83

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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.