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Finding the Fourth Proportional to 339.29, 508.82 and 185.18

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Solution

The fourth proportional to 339.29, 508.82 and 185.18 is: 277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.29 : 508.82 = 185.18 : x
  2. Step 2: Convert to fraction form
    339.29/508.82 = 185.18/x
  3. Step 3: Cross multiply
    339.29x = 508.82 × 185.18
  4. Step 4: Simplify right side
    339.29x = 94,223.29
  5. Step 5: Solve for x
    x = 94,223.29/339.29
  6. Step 6: Final answer
    x = 277.71

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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.