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Finding the Fourth Proportional to 250.97, 345.60 and 214.11

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Solution

The fourth proportional to 250.97, 345.60 and 214.11 is: 294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.97 : 345.60 = 214.11 : x
  2. Step 2: Convert to fraction form
    250.97/345.60 = 214.11/x
  3. Step 3: Cross multiply
    250.97x = 345.60 × 214.11
  4. Step 4: Simplify right side
    250.97x = 73,996.42
  5. Step 5: Solve for x
    x = 73,996.42/250.97
  6. Step 6: Final answer
    x = 294.85

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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.