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Finding the Fourth Proportional to 253.63, 380.49 and 107.30

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Solution

The fourth proportional to 253.63, 380.49 and 107.30 is: 160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.63 : 380.49 = 107.30 : x
  2. Step 2: Convert to fraction form
    253.63/380.49 = 107.30/x
  3. Step 3: Cross multiply
    253.63x = 380.49 × 107.30
  4. Step 4: Simplify right side
    253.63x = 40,826.58
  5. Step 5: Solve for x
    x = 40,826.58/253.63
  6. Step 6: Final answer
    x = 160.97

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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.