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Finding the Fourth Proportional to 232.14, 349.95 and 228.90

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Solution

The fourth proportional to 232.14, 349.95 and 228.90 is: 345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.14 : 349.95 = 228.90 : x
  2. Step 2: Convert to fraction form
    232.14/349.95 = 228.90/x
  3. Step 3: Cross multiply
    232.14x = 349.95 × 228.90
  4. Step 4: Simplify right side
    232.14x = 80,103.56
  5. Step 5: Solve for x
    x = 80,103.56/232.14
  6. Step 6: Final answer
    x = 345.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.