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Finding the Fourth Proportional to 339.25, 508.63 and 185.25

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Solution

The fourth proportional to 339.25, 508.63 and 185.25 is: 277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.25 : 508.63 = 185.25 : x
  2. Step 2: Convert to fraction form
    339.25/508.63 = 185.25/x
  3. Step 3: Cross multiply
    339.25x = 508.63 × 185.25
  4. Step 4: Simplify right side
    339.25x = 94,221.16
  5. Step 5: Solve for x
    x = 94,221.16/339.25
  6. Step 6: Final answer
    x = 277.74

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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.