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Finding the Fourth Proportional to 297.69, 411.56 and 223.89

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Solution

The fourth proportional to 297.69, 411.56 and 223.89 is: 309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.69 : 411.56 = 223.89 : x
  2. Step 2: Convert to fraction form
    297.69/411.56 = 223.89/x
  3. Step 3: Cross multiply
    297.69x = 411.56 × 223.89
  4. Step 4: Simplify right side
    297.69x = 92,144.17
  5. Step 5: Solve for x
    x = 92,144.17/297.69
  6. Step 6: Final answer
    x = 309.53

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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.