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Finding the Fourth Proportional to 253.37, 380.15 and 107.16

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Solution

The fourth proportional to 253.37, 380.15 and 107.16 is: 160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.37 : 380.15 = 107.16 : x
  2. Step 2: Convert to fraction form
    253.37/380.15 = 107.16/x
  3. Step 3: Cross multiply
    253.37x = 380.15 × 107.16
  4. Step 4: Simplify right side
    253.37x = 40,734.44
  5. Step 5: Solve for x
    x = 40,734.44/253.37
  6. Step 6: Final answer
    x = 160.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.