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Finding the Fourth Proportional to 339.44, 509.15 and 95.96

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Solution

The fourth proportional to 339.44, 509.15 and 95.96 is: 143.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.44 : 509.15 = 95.96 : x
  2. Step 2: Convert to fraction form
    339.44/509.15 = 95.96/x
  3. Step 3: Cross multiply
    339.44x = 509.15 × 95.96
  4. Step 4: Simplify right side
    339.44x = 48,859.55
  5. Step 5: Solve for x
    x = 48,859.55/339.44
  6. Step 6: Final answer
    x = 143.94

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Why These Related Problems?

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