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Finding the Fourth Proportional to 214.96, 296.58 and 141.25

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Solution

The fourth proportional to 214.96, 296.58 and 141.25 is: 194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.96 : 296.58 = 141.25 : x
  2. Step 2: Convert to fraction form
    214.96/296.58 = 141.25/x
  3. Step 3: Cross multiply
    214.96x = 296.58 × 141.25
  4. Step 4: Simplify right side
    214.96x = 41,891.93
  5. Step 5: Solve for x
    x = 41,891.93/214.96
  6. Step 6: Final answer
    x = 194.88

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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.