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Finding the Fourth Proportional to 214.41, 296.99 and 198.62

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Solution

The fourth proportional to 214.41, 296.99 and 198.62 is: 275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.41 : 296.99 = 198.62 : x
  2. Step 2: Convert to fraction form
    214.41/296.99 = 198.62/x
  3. Step 3: Cross multiply
    214.41x = 296.99 × 198.62
  4. Step 4: Simplify right side
    214.41x = 58,985.68
  5. Step 5: Solve for x
    x = 58,985.68/214.41
  6. Step 6: Final answer
    x = 275.11

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.