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Finding the Fourth Proportional to 257.94, 355.44 and 184.05

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Solution

The fourth proportional to 257.94, 355.44 and 184.05 is: 253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.94 : 355.44 = 184.05 : x
  2. Step 2: Convert to fraction form
    257.94/355.44 = 184.05/x
  3. Step 3: Cross multiply
    257.94x = 355.44 × 184.05
  4. Step 4: Simplify right side
    257.94x = 65,418.73
  5. Step 5: Solve for x
    x = 65,418.73/257.94
  6. Step 6: Final answer
    x = 253.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.