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Finding the Fourth Proportional to 251.22, 346.71 and 214.26

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Solution

The fourth proportional to 251.22, 346.71 and 214.26 is: 295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.22 : 346.71 = 214.26 : x
  2. Step 2: Convert to fraction form
    251.22/346.71 = 214.26/x
  3. Step 3: Cross multiply
    251.22x = 346.71 × 214.26
  4. Step 4: Simplify right side
    251.22x = 74,286.08
  5. Step 5: Solve for x
    x = 74,286.08/251.22
  6. Step 6: Final answer
    x = 295.70

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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.