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Finding the Fourth Proportional to 293.98, 405.62 and 224.02

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Solution

The fourth proportional to 293.98, 405.62 and 224.02 is: 309.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.98 : 405.62 = 224.02 : x
  2. Step 2: Convert to fraction form
    293.98/405.62 = 224.02/x
  3. Step 3: Cross multiply
    293.98x = 405.62 × 224.02
  4. Step 4: Simplify right side
    293.98x = 90,866.99
  5. Step 5: Solve for x
    x = 90,866.99/293.98
  6. Step 6: Final answer
    x = 309.09

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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.