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Finding the Fourth Proportional to 250.06, 344.34 and 214.82

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Solution

The fourth proportional to 250.06, 344.34 and 214.82 is: 295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.06 : 344.34 = 214.82 : x
  2. Step 2: Convert to fraction form
    250.06/344.34 = 214.82/x
  3. Step 3: Cross multiply
    250.06x = 344.34 × 214.82
  4. Step 4: Simplify right side
    250.06x = 73,971.12
  5. Step 5: Solve for x
    x = 73,971.12/250.06
  6. Step 6: Final answer
    x = 295.81

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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.