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Finding the Fourth Proportional to 254.83, 382.14 and 92.47

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Solution

The fourth proportional to 254.83, 382.14 and 92.47 is: 138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.83 : 382.14 = 92.47 : x
  2. Step 2: Convert to fraction form
    254.83/382.14 = 92.47/x
  3. Step 3: Cross multiply
    254.83x = 382.14 × 92.47
  4. Step 4: Simplify right side
    254.83x = 35,336.49
  5. Step 5: Solve for x
    x = 35,336.49/254.83
  6. Step 6: Final answer
    x = 138.67

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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.