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Finding the Fourth Proportional to 223.87, 336.32 and 193.12

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Solution

The fourth proportional to 223.87, 336.32 and 193.12 is: 290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.87 : 336.32 = 193.12 : x
  2. Step 2: Convert to fraction form
    223.87/336.32 = 193.12/x
  3. Step 3: Cross multiply
    223.87x = 336.32 × 193.12
  4. Step 4: Simplify right side
    223.87x = 64,949.04
  5. Step 5: Solve for x
    x = 64,949.04/223.87
  6. Step 6: Final answer
    x = 290.12

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