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Finding the Fourth Proportional to 248.24, 372.29 and 213.20

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Solution

The fourth proportional to 248.24, 372.29 and 213.20 is: 319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.24 : 372.29 = 213.20 : x
  2. Step 2: Convert to fraction form
    248.24/372.29 = 213.20/x
  3. Step 3: Cross multiply
    248.24x = 372.29 × 213.20
  4. Step 4: Simplify right side
    248.24x = 79,369.30
  5. Step 5: Solve for x
    x = 79,369.30/248.24
  6. Step 6: Final answer
    x = 319.73

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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.