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Finding the Fourth Proportional to 339.10, 507.84 and 194.38

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Solution

The fourth proportional to 339.10, 507.84 and 194.38 is: 291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.10 : 507.84 = 194.38 : x
  2. Step 2: Convert to fraction form
    339.10/507.84 = 194.38/x
  3. Step 3: Cross multiply
    339.10x = 507.84 × 194.38
  4. Step 4: Simplify right side
    339.10x = 98,713.94
  5. Step 5: Solve for x
    x = 98,713.94/339.10
  6. Step 6: Final answer
    x = 291.11

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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.