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Finding the Fourth Proportional to 264.87, 365.10 and 194.94

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Solution

The fourth proportional to 264.87, 365.10 and 194.94 is: 268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.87 : 365.10 = 194.94 : x
  2. Step 2: Convert to fraction form
    264.87/365.10 = 194.94/x
  3. Step 3: Cross multiply
    264.87x = 365.10 × 194.94
  4. Step 4: Simplify right side
    264.87x = 71,172.59
  5. Step 5: Solve for x
    x = 71,172.59/264.87
  6. Step 6: Final answer
    x = 268.71

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Why These Related Problems?

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