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Finding the Fourth Proportional to 254.22, 381.34 and 71.64

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Solution

The fourth proportional to 254.22, 381.34 and 71.64 is: 107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.22 : 381.34 = 71.64 : x
  2. Step 2: Convert to fraction form
    254.22/381.34 = 71.64/x
  3. Step 3: Cross multiply
    254.22x = 381.34 × 71.64
  4. Step 4: Simplify right side
    254.22x = 27,319.20
  5. Step 5: Solve for x
    x = 27,319.20/254.22
  6. Step 6: Final answer
    x = 107.46

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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.