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Finding the Fourth Proportional to 212.02, 292.85 and 191.29

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Solution

The fourth proportional to 212.02, 292.85 and 191.29 is: 264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.02 : 292.85 = 191.29 : x
  2. Step 2: Convert to fraction form
    212.02/292.85 = 191.29/x
  3. Step 3: Cross multiply
    212.02x = 292.85 × 191.29
  4. Step 4: Simplify right side
    212.02x = 56,018.84
  5. Step 5: Solve for x
    x = 56,018.84/212.02
  6. Step 6: Final answer
    x = 264.22

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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.