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Finding the Fourth Proportional to 212.28, 292.93 and 119.00

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Solution

The fourth proportional to 212.28, 292.93 and 119.00 is: 164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.28 : 292.93 = 119.00 : x
  2. Step 2: Convert to fraction form
    212.28/292.93 = 119.00/x
  3. Step 3: Cross multiply
    212.28x = 292.93 × 119.00
  4. Step 4: Simplify right side
    212.28x = 34,857.94
  5. Step 5: Solve for x
    x = 34,857.94/212.28
  6. Step 6: Final answer
    x = 164.21

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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.