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Finding the Fourth Proportional to 270.82, 374.21 and 216.01

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Solution

The fourth proportional to 270.82, 374.21 and 216.01 is: 298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.82 : 374.21 = 216.01 : x
  2. Step 2: Convert to fraction form
    270.82/374.21 = 216.01/x
  3. Step 3: Cross multiply
    270.82x = 374.21 × 216.01
  4. Step 4: Simplify right side
    270.82x = 80,832.71
  5. Step 5: Solve for x
    x = 80,832.71/270.82
  6. Step 6: Final answer
    x = 298.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.