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Finding the Fourth Proportional to 293.72, 405.42 and 199.22

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Solution

The fourth proportional to 293.72, 405.42 and 199.22 is: 274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.72 : 405.42 = 199.22 : x
  2. Step 2: Convert to fraction form
    293.72/405.42 = 199.22/x
  3. Step 3: Cross multiply
    293.72x = 405.42 × 199.22
  4. Step 4: Simplify right side
    293.72x = 80,767.77
  5. Step 5: Solve for x
    x = 80,767.77/293.72
  6. Step 6: Final answer
    x = 274.98

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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.