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Finding the Fourth Proportional to 293.04, 404.22 and 222.99

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Solution

The fourth proportional to 293.04, 404.22 and 222.99 is: 307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.04 : 404.22 = 222.99 : x
  2. Step 2: Convert to fraction form
    293.04/404.22 = 222.99/x
  3. Step 3: Cross multiply
    293.04x = 404.22 × 222.99
  4. Step 4: Simplify right side
    293.04x = 90,137.02
  5. Step 5: Solve for x
    x = 90,137.02/293.04
  6. Step 6: Final answer
    x = 307.59

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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.