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Finding the Fourth Proportional to 214.81, 321.99 and 157.28

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Solution

The fourth proportional to 214.81, 321.99 and 157.28 is: 235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.81 : 321.99 = 157.28 : x
  2. Step 2: Convert to fraction form
    214.81/321.99 = 157.28/x
  3. Step 3: Cross multiply
    214.81x = 321.99 × 157.28
  4. Step 4: Simplify right side
    214.81x = 50,643.08
  5. Step 5: Solve for x
    x = 50,643.08/214.81
  6. Step 6: Final answer
    x = 235.75

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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.