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Finding the Fourth Proportional to 253.94, 380.91 and 61.56

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Solution

The fourth proportional to 253.94, 380.91 and 61.56 is: 92.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.94 : 380.91 = 61.56 : x
  2. Step 2: Convert to fraction form
    253.94/380.91 = 61.56/x
  3. Step 3: Cross multiply
    253.94x = 380.91 × 61.56
  4. Step 4: Simplify right side
    253.94x = 23,449.54
  5. Step 5: Solve for x
    x = 23,449.54/253.94
  6. Step 6: Final answer
    x = 92.34

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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.