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Finding the Fourth Proportional to 212.47, 293.22 and 119.23

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Solution

The fourth proportional to 212.47, 293.22 and 119.23 is: 164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.47 : 293.22 = 119.23 : x
  2. Step 2: Convert to fraction form
    212.47/293.22 = 119.23/x
  3. Step 3: Cross multiply
    212.47x = 293.22 × 119.23
  4. Step 4: Simplify right side
    212.47x = 34,961.95
  5. Step 5: Solve for x
    x = 34,961.95/212.47
  6. Step 6: Final answer
    x = 164.55

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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.