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Finding the Fourth Proportional to 214.14, 295.32 and 198.23

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Solution

The fourth proportional to 214.14, 295.32 and 198.23 is: 273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.14 : 295.32 = 198.23 : x
  2. Step 2: Convert to fraction form
    214.14/295.32 = 198.23/x
  3. Step 3: Cross multiply
    214.14x = 295.32 × 198.23
  4. Step 4: Simplify right side
    214.14x = 58,541.28
  5. Step 5: Solve for x
    x = 58,541.28/214.14
  6. Step 6: Final answer
    x = 273.37

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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.