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Finding the Fourth Proportional to 214.99, 296.43 and 141.14

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Solution

The fourth proportional to 214.99, 296.43 and 141.14 is: 194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.99 : 296.43 = 141.14 : x
  2. Step 2: Convert to fraction form
    214.99/296.43 = 141.14/x
  3. Step 3: Cross multiply
    214.99x = 296.43 × 141.14
  4. Step 4: Simplify right side
    214.99x = 41,838.34
  5. Step 5: Solve for x
    x = 41,838.34/214.99
  6. Step 6: Final answer
    x = 194.61

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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.