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Finding the Fourth Proportional to 381.22, 525.23 and 250

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Solution

The fourth proportional to 381.22, 525.23 and 250 is: 344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.22 : 525.23 = 250 : x
  2. Step 2: Convert to fraction form
    381.22/525.23 = 250/x
  3. Step 3: Cross multiply
    381.22x = 525.23 × 250
  4. Step 4: Simplify right side
    381.22x = 131,307.50
  5. Step 5: Solve for x
    x = 131,307.50/381.22
  6. Step 6: Final answer
    x = 344.44

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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.