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Finding the Fourth Proportional to 212.24, 292.91 and 118.99

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Solution

The fourth proportional to 212.24, 292.91 and 118.99 is: 164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.24 : 292.91 = 118.99 : x
  2. Step 2: Convert to fraction form
    212.24/292.91 = 118.99/x
  3. Step 3: Cross multiply
    212.24x = 292.91 × 118.99
  4. Step 4: Simplify right side
    212.24x = 34,853.36
  5. Step 5: Solve for x
    x = 34,853.36/212.24
  6. Step 6: Final answer
    x = 164.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.