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Finding the Fourth Proportional to 214.10, 319.27 and 197.27

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Solution

The fourth proportional to 214.10, 319.27 and 197.27 is: 294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.10 : 319.27 = 197.27 : x
  2. Step 2: Convert to fraction form
    214.10/319.27 = 197.27/x
  3. Step 3: Cross multiply
    214.10x = 319.27 × 197.27
  4. Step 4: Simplify right side
    214.10x = 62,982.70
  5. Step 5: Solve for x
    x = 62,982.70/214.10
  6. Step 6: Final answer
    x = 294.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.