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Finding the Fourth Proportional to 297.02, 410.22 and 223.67

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Solution

The fourth proportional to 297.02, 410.22 and 223.67 is: 308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.02 : 410.22 = 223.67 : x
  2. Step 2: Convert to fraction form
    297.02/410.22 = 223.67/x
  3. Step 3: Cross multiply
    297.02x = 410.22 × 223.67
  4. Step 4: Simplify right side
    297.02x = 91,751.86
  5. Step 5: Solve for x
    x = 91,751.86/297.02
  6. Step 6: Final answer
    x = 308.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.