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Finding the Fourth Proportional to 296.91, 445.67 and 205.29

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Solution

The fourth proportional to 296.91, 445.67 and 205.29 is: 308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.91 : 445.67 = 205.29 : x
  2. Step 2: Convert to fraction form
    296.91/445.67 = 205.29/x
  3. Step 3: Cross multiply
    296.91x = 445.67 × 205.29
  4. Step 4: Simplify right side
    296.91x = 91,490.57
  5. Step 5: Solve for x
    x = 91,490.57/296.91
  6. Step 6: Final answer
    x = 308.14

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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.