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Finding the Fourth Proportional to 228.22, 315.17 and 195.28

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Solution

The fourth proportional to 228.22, 315.17 and 195.28 is: 269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.22 : 315.17 = 195.28 : x
  2. Step 2: Convert to fraction form
    228.22/315.17 = 195.28/x
  3. Step 3: Cross multiply
    228.22x = 315.17 × 195.28
  4. Step 4: Simplify right side
    228.22x = 61,546.40
  5. Step 5: Solve for x
    x = 61,546.40/228.22
  6. Step 6: Final answer
    x = 269.68

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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.