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Finding the Fourth Proportional to 214.06, 293.67 and 203.73

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Solution

The fourth proportional to 214.06, 293.67 and 203.73 is: 279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.06 : 293.67 = 203.73 : x
  2. Step 2: Convert to fraction form
    214.06/293.67 = 203.73/x
  3. Step 3: Cross multiply
    214.06x = 293.67 × 203.73
  4. Step 4: Simplify right side
    214.06x = 59,829.39
  5. Step 5: Solve for x
    x = 59,829.39/214.06
  6. Step 6: Final answer
    x = 279.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.