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Finding the Fourth Proportional to 339.08, 508.08 and 194.90

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Solution

The fourth proportional to 339.08, 508.08 and 194.90 is: 292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.08 : 508.08 = 194.90 : x
  2. Step 2: Convert to fraction form
    339.08/508.08 = 194.90/x
  3. Step 3: Cross multiply
    339.08x = 508.08 × 194.90
  4. Step 4: Simplify right side
    339.08x = 99,024.79
  5. Step 5: Solve for x
    x = 99,024.79/339.08
  6. Step 6: Final answer
    x = 292.04

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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.