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Finding the Fourth Proportional to 214.97, 322.00 and 160.27

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Solution

The fourth proportional to 214.97, 322.00 and 160.27 is: 240.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.97 : 322.00 = 160.27 : x
  2. Step 2: Convert to fraction form
    214.97/322.00 = 160.27/x
  3. Step 3: Cross multiply
    214.97x = 322.00 × 160.27
  4. Step 4: Simplify right side
    214.97x = 51,605.73
  5. Step 5: Solve for x
    x = 51,605.73/214.97
  6. Step 6: Final answer
    x = 240.07

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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.