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Finding the Fourth Proportional to 214.28, 293.56 and 206.06

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Solution

The fourth proportional to 214.28, 293.56 and 206.06 is: 282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.28 : 293.56 = 206.06 : x
  2. Step 2: Convert to fraction form
    214.28/293.56 = 206.06/x
  3. Step 3: Cross multiply
    214.28x = 293.56 × 206.06
  4. Step 4: Simplify right side
    214.28x = 60,490.97
  5. Step 5: Solve for x
    x = 60,490.97/214.28
  6. Step 6: Final answer
    x = 282.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.