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Finding the Fourth Proportional to 253.74, 380.73 and 107.53

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Solution

The fourth proportional to 253.74, 380.73 and 107.53 is: 161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.74 : 380.73 = 107.53 : x
  2. Step 2: Convert to fraction form
    253.74/380.73 = 107.53/x
  3. Step 3: Cross multiply
    253.74x = 380.73 × 107.53
  4. Step 4: Simplify right side
    253.74x = 40,939.36
  5. Step 5: Solve for x
    x = 40,939.36/253.74
  6. Step 6: Final answer
    x = 161.34

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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.