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Finding the Fourth Proportional to 253.05, 380.11 and 214.61

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Solution

The fourth proportional to 253.05, 380.11 and 214.61 is: 322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.05 : 380.11 = 214.61 : x
  2. Step 2: Convert to fraction form
    253.05/380.11 = 214.61/x
  3. Step 3: Cross multiply
    253.05x = 380.11 × 214.61
  4. Step 4: Simplify right side
    253.05x = 81,575.41
  5. Step 5: Solve for x
    x = 81,575.41/253.05
  6. Step 6: Final answer
    x = 322.37

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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.