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Finding the Fourth Proportional to 257.53, 386.19 and 92.95

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Solution

The fourth proportional to 257.53, 386.19 and 92.95 is: 139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.53 : 386.19 = 92.95 : x
  2. Step 2: Convert to fraction form
    257.53/386.19 = 92.95/x
  3. Step 3: Cross multiply
    257.53x = 386.19 × 92.95
  4. Step 4: Simplify right side
    257.53x = 35,896.36
  5. Step 5: Solve for x
    x = 35,896.36/257.53
  6. Step 6: Final answer
    x = 139.39

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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.