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Finding the Fourth Proportional to 212.08, 292.52 and 142.96

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Solution

The fourth proportional to 212.08, 292.52 and 142.96 is: 197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.08 : 292.52 = 142.96 : x
  2. Step 2: Convert to fraction form
    212.08/292.52 = 142.96/x
  3. Step 3: Cross multiply
    212.08x = 292.52 × 142.96
  4. Step 4: Simplify right side
    212.08x = 41,818.66
  5. Step 5: Solve for x
    x = 41,818.66/212.08
  6. Step 6: Final answer
    x = 197.18

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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.