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Finding the Fourth Proportional to 339.27, 508.91 and 95.82

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Solution

The fourth proportional to 339.27, 508.91 and 95.82 is: 143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.27 : 508.91 = 95.82 : x
  2. Step 2: Convert to fraction form
    339.27/508.91 = 95.82/x
  3. Step 3: Cross multiply
    339.27x = 508.91 × 95.82
  4. Step 4: Simplify right side
    339.27x = 48,763.76
  5. Step 5: Solve for x
    x = 48,763.76/339.27
  6. Step 6: Final answer
    x = 143.73

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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.