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Finding the Fourth Proportional to 214.96, 296.72 and 182.40

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Solution

The fourth proportional to 214.96, 296.72 and 182.40 is: 251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.96 : 296.72 = 182.40 : x
  2. Step 2: Convert to fraction form
    214.96/296.72 = 182.40/x
  3. Step 3: Cross multiply
    214.96x = 296.72 × 182.40
  4. Step 4: Simplify right side
    214.96x = 54,121.73
  5. Step 5: Solve for x
    x = 54,121.73/214.96
  6. Step 6: Final answer
    x = 251.78

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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.