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Finding the Fourth Proportional to 228.48, 315.20 and 166.22

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Solution

The fourth proportional to 228.48, 315.20 and 166.22 is: 229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.48 : 315.20 = 166.22 : x
  2. Step 2: Convert to fraction form
    228.48/315.20 = 166.22/x
  3. Step 3: Cross multiply
    228.48x = 315.20 × 166.22
  4. Step 4: Simplify right side
    228.48x = 52,392.54
  5. Step 5: Solve for x
    x = 52,392.54/228.48
  6. Step 6: Final answer
    x = 229.31

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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.