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Finding the Fourth Proportional to 212.94, 319.41 and 164.70

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Solution

The fourth proportional to 212.94, 319.41 and 164.70 is: 247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.94 : 319.41 = 164.70 : x
  2. Step 2: Convert to fraction form
    212.94/319.41 = 164.70/x
  3. Step 3: Cross multiply
    212.94x = 319.41 × 164.70
  4. Step 4: Simplify right side
    212.94x = 52,606.83
  5. Step 5: Solve for x
    x = 52,606.83/212.94
  6. Step 6: Final answer
    x = 247.05

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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.