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Finding the Fourth Proportional to 297.69, 447.14 and 221.14

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Solution

The fourth proportional to 297.69, 447.14 and 221.14 is: 332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.69 : 447.14 = 221.14 : x
  2. Step 2: Convert to fraction form
    297.69/447.14 = 221.14/x
  3. Step 3: Cross multiply
    297.69x = 447.14 × 221.14
  4. Step 4: Simplify right side
    297.69x = 98,880.54
  5. Step 5: Solve for x
    x = 98,880.54/297.69
  6. Step 6: Final answer
    x = 332.16

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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.