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Finding the Fourth Proportional to 214.34, 295.74 and 198.86

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Solution

The fourth proportional to 214.34, 295.74 and 198.86 is: 274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.34 : 295.74 = 198.86 : x
  2. Step 2: Convert to fraction form
    214.34/295.74 = 198.86/x
  3. Step 3: Cross multiply
    214.34x = 295.74 × 198.86
  4. Step 4: Simplify right side
    214.34x = 58,809.38
  5. Step 5: Solve for x
    x = 58,809.38/214.34
  6. Step 6: Final answer
    x = 274.38

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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.