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Finding the Fourth Proportional to 254.41, 381.62 and 106.16

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Solution

The fourth proportional to 254.41, 381.62 and 106.16 is: 159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.41 : 381.62 = 106.16 : x
  2. Step 2: Convert to fraction form
    254.41/381.62 = 106.16/x
  3. Step 3: Cross multiply
    254.41x = 381.62 × 106.16
  4. Step 4: Simplify right side
    254.41x = 40,511.14
  5. Step 5: Solve for x
    x = 40,511.14/254.41
  6. Step 6: Final answer
    x = 159.24

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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.