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Finding the Fourth Proportional to 231.72, 321.95 and 228.81

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Solution

The fourth proportional to 231.72, 321.95 and 228.81 is: 317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.72 : 321.95 = 228.81 : x
  2. Step 2: Convert to fraction form
    231.72/321.95 = 228.81/x
  3. Step 3: Cross multiply
    231.72x = 321.95 × 228.81
  4. Step 4: Simplify right side
    231.72x = 73,665.38
  5. Step 5: Solve for x
    x = 73,665.38/231.72
  6. Step 6: Final answer
    x = 317.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.