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Finding the Fourth Proportional to 296.44, 445.48 and 225.16

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Solution

The fourth proportional to 296.44, 445.48 and 225.16 is: 338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.44 : 445.48 = 225.16 : x
  2. Step 2: Convert to fraction form
    296.44/445.48 = 225.16/x
  3. Step 3: Cross multiply
    296.44x = 445.48 × 225.16
  4. Step 4: Simplify right side
    296.44x = 100,304.28
  5. Step 5: Solve for x
    x = 100,304.28/296.44
  6. Step 6: Final answer
    x = 338.36

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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.