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Finding the Fourth Proportional to 214.91, 296.63 and 141.19

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Solution

The fourth proportional to 214.91, 296.63 and 141.19 is: 194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.91 : 296.63 = 141.19 : x
  2. Step 2: Convert to fraction form
    214.91/296.63 = 141.19/x
  3. Step 3: Cross multiply
    214.91x = 296.63 × 141.19
  4. Step 4: Simplify right side
    214.91x = 41,879.00
  5. Step 5: Solve for x
    x = 41,879.00/214.91
  6. Step 6: Final answer
    x = 194.87

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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.