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Finding the Fourth Proportional to 296.91, 445.41 and 114.30

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Solution

The fourth proportional to 296.91, 445.41 and 114.30 is: 171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.91 : 445.41 = 114.30 : x
  2. Step 2: Convert to fraction form
    296.91/445.41 = 114.30/x
  3. Step 3: Cross multiply
    296.91x = 445.41 × 114.30
  4. Step 4: Simplify right side
    296.91x = 50,910.36
  5. Step 5: Solve for x
    x = 50,910.36/296.91
  6. Step 6: Final answer
    x = 171.47

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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.