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Finding the Fourth Proportional to 212.64, 293.46 and 119.37

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Solution

The fourth proportional to 212.64, 293.46 and 119.37 is: 164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.64 : 293.46 = 119.37 : x
  2. Step 2: Convert to fraction form
    212.64/293.46 = 119.37/x
  3. Step 3: Cross multiply
    212.64x = 293.46 × 119.37
  4. Step 4: Simplify right side
    212.64x = 35,030.97
  5. Step 5: Solve for x
    x = 35,030.97/212.64
  6. Step 6: Final answer
    x = 164.75

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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.