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Finding the Fourth Proportional to 214.39, 321.95 and 203.75

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Solution

The fourth proportional to 214.39, 321.95 and 203.75 is: 305.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.39 : 321.95 = 203.75 : x
  2. Step 2: Convert to fraction form
    214.39/321.95 = 203.75/x
  3. Step 3: Cross multiply
    214.39x = 321.95 × 203.75
  4. Step 4: Simplify right side
    214.39x = 65,597.31
  5. Step 5: Solve for x
    x = 65,597.31/214.39
  6. Step 6: Final answer
    x = 305.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.