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Finding the Fourth Proportional to 233.41, 351.32 and 198.17

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Solution

The fourth proportional to 233.41, 351.32 and 198.17 is: 298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.41 : 351.32 = 198.17 : x
  2. Step 2: Convert to fraction form
    233.41/351.32 = 198.17/x
  3. Step 3: Cross multiply
    233.41x = 351.32 × 198.17
  4. Step 4: Simplify right side
    233.41x = 69,621.83
  5. Step 5: Solve for x
    x = 69,621.83/233.41
  6. Step 6: Final answer
    x = 298.29

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