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Finding the Fourth Proportional to 219.46, 303 and 164.14

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Solution

The fourth proportional to 219.46, 303 and 164.14 is: 226.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.46 : 303 = 164.14 : x
  2. Step 2: Convert to fraction form
    219.46/303 = 164.14/x
  3. Step 3: Cross multiply
    219.46x = 303 × 164.14
  4. Step 4: Simplify right side
    219.46x = 49,734.42
  5. Step 5: Solve for x
    x = 49,734.42/219.46
  6. Step 6: Final answer
    x = 226.62

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Why These Related Problems?

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