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Finding the Fourth Proportional to 293.98, 406 and 228.76

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Solution

The fourth proportional to 293.98, 406 and 228.76 is: 315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.98 : 406 = 228.76 : x
  2. Step 2: Convert to fraction form
    293.98/406 = 228.76/x
  3. Step 3: Cross multiply
    293.98x = 406 × 228.76
  4. Step 4: Simplify right side
    293.98x = 92,876.56
  5. Step 5: Solve for x
    x = 92,876.56/293.98
  6. Step 6: Final answer
    x = 315.93

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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.