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Finding the Fourth Proportional to 214.47, 296.14 and 159.80

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Solution

The fourth proportional to 214.47, 296.14 and 159.80 is: 220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.47 : 296.14 = 159.80 : x
  2. Step 2: Convert to fraction form
    214.47/296.14 = 159.80/x
  3. Step 3: Cross multiply
    214.47x = 296.14 × 159.80
  4. Step 4: Simplify right side
    214.47x = 47,321.29
  5. Step 5: Solve for x
    x = 47,321.29/214.47
  6. Step 6: Final answer
    x = 220.64

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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.