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Finding the Fourth Proportional to 214.44, 296.62 and 212.02

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Solution

The fourth proportional to 214.44, 296.62 and 212.02 is: 293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.44 : 296.62 = 212.02 : x
  2. Step 2: Convert to fraction form
    214.44/296.62 = 212.02/x
  3. Step 3: Cross multiply
    214.44x = 296.62 × 212.02
  4. Step 4: Simplify right side
    214.44x = 62,889.37
  5. Step 5: Solve for x
    x = 62,889.37/214.44
  6. Step 6: Final answer
    x = 293.27

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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.