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Finding the Fourth Proportional to 339.15, 508.05 and 184.85

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Solution

The fourth proportional to 339.15, 508.05 and 184.85 is: 276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.15 : 508.05 = 184.85 : x
  2. Step 2: Convert to fraction form
    339.15/508.05 = 184.85/x
  3. Step 3: Cross multiply
    339.15x = 508.05 × 184.85
  4. Step 4: Simplify right side
    339.15x = 93,910.50
  5. Step 5: Solve for x
    x = 93,910.50/339.15
  6. Step 6: Final answer
    x = 276.90

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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.