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Finding the Fourth Proportional to 214.84, 321.90 and 172

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Solution

The fourth proportional to 214.84, 321.90 and 172 is: 257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.84 : 321.90 = 172 : x
  2. Step 2: Convert to fraction form
    214.84/321.90 = 172/x
  3. Step 3: Cross multiply
    214.84x = 321.90 × 172
  4. Step 4: Simplify right side
    214.84x = 55,366.80
  5. Step 5: Solve for x
    x = 55,366.80/214.84
  6. Step 6: Final answer
    x = 257.71

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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.