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Finding the Fourth Proportional to 212.83, 293.67 and 119.57

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Solution

The fourth proportional to 212.83, 293.67 and 119.57 is: 164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.83 : 293.67 = 119.57 : x
  2. Step 2: Convert to fraction form
    212.83/293.67 = 119.57/x
  3. Step 3: Cross multiply
    212.83x = 293.67 × 119.57
  4. Step 4: Simplify right side
    212.83x = 35,114.31
  5. Step 5: Solve for x
    x = 35,114.31/212.83
  6. Step 6: Final answer
    x = 164.99

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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.