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Finding the Fourth Proportional to 214.64, 296.20 and 116.39

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Solution

The fourth proportional to 214.64, 296.20 and 116.39 is: 160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.64 : 296.20 = 116.39 : x
  2. Step 2: Convert to fraction form
    214.64/296.20 = 116.39/x
  3. Step 3: Cross multiply
    214.64x = 296.20 × 116.39
  4. Step 4: Simplify right side
    214.64x = 34,474.95
  5. Step 5: Solve for x
    x = 34,474.95/214.64
  6. Step 6: Final answer
    x = 160.62

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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.