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Finding the Fourth Proportional to 254.24, 381.48 and 108.03

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Solution

The fourth proportional to 254.24, 381.48 and 108.03 is: 162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.24 : 381.48 = 108.03 : x
  2. Step 2: Convert to fraction form
    254.24/381.48 = 108.03/x
  3. Step 3: Cross multiply
    254.24x = 381.48 × 108.03
  4. Step 4: Simplify right side
    254.24x = 41,210.74
  5. Step 5: Solve for x
    x = 41,210.74/254.24
  6. Step 6: Final answer
    x = 162.09

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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.