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Finding the Fourth Proportional to 214.67, 296.08 and 197.24

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Solution

The fourth proportional to 214.67, 296.08 and 197.24 is: 272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.67 : 296.08 = 197.24 : x
  2. Step 2: Convert to fraction form
    214.67/296.08 = 197.24/x
  3. Step 3: Cross multiply
    214.67x = 296.08 × 197.24
  4. Step 4: Simplify right side
    214.67x = 58,398.82
  5. Step 5: Solve for x
    x = 58,398.82/214.67
  6. Step 6: Final answer
    x = 272.04

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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.