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Finding the Fourth Proportional to 296.99, 447.21 and 220.49

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Solution

The fourth proportional to 296.99, 447.21 and 220.49 is: 332.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.99 : 447.21 = 220.49 : x
  2. Step 2: Convert to fraction form
    296.99/447.21 = 220.49/x
  3. Step 3: Cross multiply
    296.99x = 447.21 × 220.49
  4. Step 4: Simplify right side
    296.99x = 98,605.33
  5. Step 5: Solve for x
    x = 98,605.33/296.99
  6. Step 6: Final answer
    x = 332.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.