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Finding the Fourth Proportional to 212.44, 292.98 and 193

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Solution

The fourth proportional to 212.44, 292.98 and 193 is: 266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.44 : 292.98 = 193 : x
  2. Step 2: Convert to fraction form
    212.44/292.98 = 193/x
  3. Step 3: Cross multiply
    212.44x = 292.98 × 193
  4. Step 4: Simplify right side
    212.44x = 56,545.14
  5. Step 5: Solve for x
    x = 56,545.14/212.44
  6. Step 6: Final answer
    x = 266.17

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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.