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Finding the Fourth Proportional to 257.37, 385.79 and 127.41

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Solution

The fourth proportional to 257.37, 385.79 and 127.41 is: 190.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.37 : 385.79 = 127.41 : x
  2. Step 2: Convert to fraction form
    257.37/385.79 = 127.41/x
  3. Step 3: Cross multiply
    257.37x = 385.79 × 127.41
  4. Step 4: Simplify right side
    257.37x = 49,152.87
  5. Step 5: Solve for x
    x = 49,152.87/257.37
  6. Step 6: Final answer
    x = 190.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.