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Finding the Fourth Proportional to 228.78, 342.92 and 106.94

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Solution

The fourth proportional to 228.78, 342.92 and 106.94 is: 160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.78 : 342.92 = 106.94 : x
  2. Step 2: Convert to fraction form
    228.78/342.92 = 106.94/x
  3. Step 3: Cross multiply
    228.78x = 342.92 × 106.94
  4. Step 4: Simplify right side
    228.78x = 36,671.86
  5. Step 5: Solve for x
    x = 36,671.86/228.78
  6. Step 6: Final answer
    x = 160.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.