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Finding the Fourth Proportional to 293.62, 404.22 and 228.10

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Solution

The fourth proportional to 293.62, 404.22 and 228.10 is: 314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.62 : 404.22 = 228.10 : x
  2. Step 2: Convert to fraction form
    293.62/404.22 = 228.10/x
  3. Step 3: Cross multiply
    293.62x = 404.22 × 228.10
  4. Step 4: Simplify right side
    293.62x = 92,202.58
  5. Step 5: Solve for x
    x = 92,202.58/293.62
  6. Step 6: Final answer
    x = 314.02

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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.