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Finding the Fourth Proportional to 293.49, 405 and 219.78

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Solution

The fourth proportional to 293.49, 405 and 219.78 is: 303.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.49 : 405 = 219.78 : x
  2. Step 2: Convert to fraction form
    293.49/405 = 219.78/x
  3. Step 3: Cross multiply
    293.49x = 405 × 219.78
  4. Step 4: Simplify right side
    293.49x = 89,010.90
  5. Step 5: Solve for x
    x = 89,010.90/293.49
  6. Step 6: Final answer
    x = 303.28

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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.