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Finding the Fourth Proportional to 218.14, 327.88 and 203.10

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Solution

The fourth proportional to 218.14, 327.88 and 203.10 is: 305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.14 : 327.88 = 203.10 : x
  2. Step 2: Convert to fraction form
    218.14/327.88 = 203.10/x
  3. Step 3: Cross multiply
    218.14x = 327.88 × 203.10
  4. Step 4: Simplify right side
    218.14x = 66,592.43
  5. Step 5: Solve for x
    x = 66,592.43/218.14
  6. Step 6: Final answer
    x = 305.27

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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.