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Finding the Fourth Proportional to 205.38, 307.67 and 151.11

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Solution

The fourth proportional to 205.38, 307.67 and 151.11 is: 226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 307.67 = 151.11 : x
  2. Step 2: Convert to fraction form
    205.38/307.67 = 151.11/x
  3. Step 3: Cross multiply
    205.38x = 307.67 × 151.11
  4. Step 4: Simplify right side
    205.38x = 46,491.26
  5. Step 5: Solve for x
    x = 46,491.26/205.38
  6. Step 6: Final answer
    x = 226.37

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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.