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Finding the Fourth Proportional to 339.20, 468.11 and 265.85

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Solution

The fourth proportional to 339.20, 468.11 and 265.85 is: 366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.20 : 468.11 = 265.85 : x
  2. Step 2: Convert to fraction form
    339.20/468.11 = 265.85/x
  3. Step 3: Cross multiply
    339.20x = 468.11 × 265.85
  4. Step 4: Simplify right side
    339.20x = 124,447.12
  5. Step 5: Solve for x
    x = 124,447.12/339.20
  6. Step 6: Final answer
    x = 366.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.