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Finding the Fourth Proportional to 212.43, 293.14 and 119.17

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Solution

The fourth proportional to 212.43, 293.14 and 119.17 is: 164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.43 : 293.14 = 119.17 : x
  2. Step 2: Convert to fraction form
    212.43/293.14 = 119.17/x
  3. Step 3: Cross multiply
    212.43x = 293.14 × 119.17
  4. Step 4: Simplify right side
    212.43x = 34,932.71
  5. Step 5: Solve for x
    x = 34,932.71/212.43
  6. Step 6: Final answer
    x = 164.45

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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.