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Finding the Fourth Proportional to 214.96, 296.40 and 163.12

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Solution

The fourth proportional to 214.96, 296.40 and 163.12 is: 224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.96 : 296.40 = 163.12 : x
  2. Step 2: Convert to fraction form
    214.96/296.40 = 163.12/x
  3. Step 3: Cross multiply
    214.96x = 296.40 × 163.12
  4. Step 4: Simplify right side
    214.96x = 48,348.77
  5. Step 5: Solve for x
    x = 48,348.77/214.96
  6. Step 6: Final answer
    x = 224.92

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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.