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Finding the Fourth Proportional to 279.42, 385.97 and 214.26

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Solution

The fourth proportional to 279.42, 385.97 and 214.26 is: 295.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.42 : 385.97 = 214.26 : x
  2. Step 2: Convert to fraction form
    279.42/385.97 = 214.26/x
  3. Step 3: Cross multiply
    279.42x = 385.97 × 214.26
  4. Step 4: Simplify right side
    279.42x = 82,696.86
  5. Step 5: Solve for x
    x = 82,696.86/279.42
  6. Step 6: Final answer
    x = 295.96

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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.