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Finding the Fourth Proportional to 214.68, 321.42 and 169.14

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Solution

The fourth proportional to 214.68, 321.42 and 169.14 is: 253.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.68 : 321.42 = 169.14 : x
  2. Step 2: Convert to fraction form
    214.68/321.42 = 169.14/x
  3. Step 3: Cross multiply
    214.68x = 321.42 × 169.14
  4. Step 4: Simplify right side
    214.68x = 54,364.98
  5. Step 5: Solve for x
    x = 54,364.98/214.68
  6. Step 6: Final answer
    x = 253.24

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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.