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Finding the Fourth Proportional to 212.27, 292.94 and 119.04

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Solution

The fourth proportional to 212.27, 292.94 and 119.04 is: 164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.27 : 292.94 = 119.04 : x
  2. Step 2: Convert to fraction form
    212.27/292.94 = 119.04/x
  3. Step 3: Cross multiply
    212.27x = 292.94 × 119.04
  4. Step 4: Simplify right side
    212.27x = 34,871.00
  5. Step 5: Solve for x
    x = 34,871.00/212.27
  6. Step 6: Final answer
    x = 164.28

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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.