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Finding the Fourth Proportional to 212.97, 318.44 and 164.17

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Solution

The fourth proportional to 212.97, 318.44 and 164.17 is: 245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.97 : 318.44 = 164.17 : x
  2. Step 2: Convert to fraction form
    212.97/318.44 = 164.17/x
  3. Step 3: Cross multiply
    212.97x = 318.44 × 164.17
  4. Step 4: Simplify right side
    212.97x = 52,278.29
  5. Step 5: Solve for x
    x = 52,278.29/212.97
  6. Step 6: Final answer
    x = 245.47

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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.