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Finding the Fourth Proportional to 232.47, 347.73 and 228.94

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Solution

The fourth proportional to 232.47, 347.73 and 228.94 is: 342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.47 : 347.73 = 228.94 : x
  2. Step 2: Convert to fraction form
    232.47/347.73 = 228.94/x
  3. Step 3: Cross multiply
    232.47x = 347.73 × 228.94
  4. Step 4: Simplify right side
    232.47x = 79,608.44
  5. Step 5: Solve for x
    x = 79,608.44/232.47
  6. Step 6: Final answer
    x = 342.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.