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Finding the Fourth Proportional to 219.87, 303.44 and 164.51

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Solution

The fourth proportional to 219.87, 303.44 and 164.51 is: 227.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.87 : 303.44 = 164.51 : x
  2. Step 2: Convert to fraction form
    219.87/303.44 = 164.51/x
  3. Step 3: Cross multiply
    219.87x = 303.44 × 164.51
  4. Step 4: Simplify right side
    219.87x = 49,920.08
  5. Step 5: Solve for x
    x = 49,920.08/219.87
  6. Step 6: Final answer
    x = 227.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.