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Finding the Fourth Proportional to 214.67, 296.24 and 116.43

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Solution

The fourth proportional to 214.67, 296.24 and 116.43 is: 160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.67 : 296.24 = 116.43 : x
  2. Step 2: Convert to fraction form
    214.67/296.24 = 116.43/x
  3. Step 3: Cross multiply
    214.67x = 296.24 × 116.43
  4. Step 4: Simplify right side
    214.67x = 34,489.74
  5. Step 5: Solve for x
    x = 34,489.74/214.67
  6. Step 6: Final answer
    x = 160.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.