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Finding the Fourth Proportional to 214.92, 324.72 and 213

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Solution

The fourth proportional to 214.92, 324.72 and 213 is: 321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.92 : 324.72 = 213 : x
  2. Step 2: Convert to fraction form
    214.92/324.72 = 213/x
  3. Step 3: Cross multiply
    214.92x = 324.72 × 213
  4. Step 4: Simplify right side
    214.92x = 69,165.36
  5. Step 5: Solve for x
    x = 69,165.36/214.92
  6. Step 6: Final answer
    x = 321.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.