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Finding the Fourth Proportional to 214.30, 295.78 and 198.90

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Solution

The fourth proportional to 214.30, 295.78 and 198.90 is: 274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.30 : 295.78 = 198.90 : x
  2. Step 2: Convert to fraction form
    214.30/295.78 = 198.90/x
  3. Step 3: Cross multiply
    214.30x = 295.78 × 198.90
  4. Step 4: Simplify right side
    214.30x = 58,830.64
  5. Step 5: Solve for x
    x = 58,830.64/214.30
  6. Step 6: Final answer
    x = 274.52

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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.