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Finding the Fourth Proportional to 214.39, 296.09 and 159.04

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Solution

The fourth proportional to 214.39, 296.09 and 159.04 is: 219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.39 : 296.09 = 159.04 : x
  2. Step 2: Convert to fraction form
    214.39/296.09 = 159.04/x
  3. Step 3: Cross multiply
    214.39x = 296.09 × 159.04
  4. Step 4: Simplify right side
    214.39x = 47,090.15
  5. Step 5: Solve for x
    x = 47,090.15/214.39
  6. Step 6: Final answer
    x = 219.65

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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.