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Finding the Fourth Proportional to 232.95, 349.49 and 192.18

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Solution

The fourth proportional to 232.95, 349.49 and 192.18 is: 288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.95 : 349.49 = 192.18 : x
  2. Step 2: Convert to fraction form
    232.95/349.49 = 192.18/x
  3. Step 3: Cross multiply
    232.95x = 349.49 × 192.18
  4. Step 4: Simplify right side
    232.95x = 67,162.28
  5. Step 5: Solve for x
    x = 67,162.28/232.95
  6. Step 6: Final answer
    x = 288.32

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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.