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Finding the Fourth Proportional to 212.39, 318.18 and 164.06

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Solution

The fourth proportional to 212.39, 318.18 and 164.06 is: 245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.39 : 318.18 = 164.06 : x
  2. Step 2: Convert to fraction form
    212.39/318.18 = 164.06/x
  3. Step 3: Cross multiply
    212.39x = 318.18 × 164.06
  4. Step 4: Simplify right side
    212.39x = 52,200.61
  5. Step 5: Solve for x
    x = 52,200.61/212.39
  6. Step 6: Final answer
    x = 245.78

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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.