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Finding the Fourth Proportional to 339.05, 507.90 and 194.60

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Solution

The fourth proportional to 339.05, 507.90 and 194.60 is: 291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.05 : 507.90 = 194.60 : x
  2. Step 2: Convert to fraction form
    339.05/507.90 = 194.60/x
  3. Step 3: Cross multiply
    339.05x = 507.90 × 194.60
  4. Step 4: Simplify right side
    339.05x = 98,837.34
  5. Step 5: Solve for x
    x = 98,837.34/339.05
  6. Step 6: Final answer
    x = 291.51

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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.