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Finding the Fourth Proportional to 228.78, 315.39 and 166.41

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Solution

The fourth proportional to 228.78, 315.39 and 166.41 is: 229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.78 : 315.39 = 166.41 : x
  2. Step 2: Convert to fraction form
    228.78/315.39 = 166.41/x
  3. Step 3: Cross multiply
    228.78x = 315.39 × 166.41
  4. Step 4: Simplify right side
    228.78x = 52,484.05
  5. Step 5: Solve for x
    x = 52,484.05/228.78
  6. Step 6: Final answer
    x = 229.41

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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.