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Finding the Fourth Proportional to 214.28, 321.48 and 137.36

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Solution

The fourth proportional to 214.28, 321.48 and 137.36 is: 206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.28 : 321.48 = 137.36 : x
  2. Step 2: Convert to fraction form
    214.28/321.48 = 137.36/x
  3. Step 3: Cross multiply
    214.28x = 321.48 × 137.36
  4. Step 4: Simplify right side
    214.28x = 44,158.49
  5. Step 5: Solve for x
    x = 44,158.49/214.28
  6. Step 6: Final answer
    x = 206.08

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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.