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Finding the Fourth Proportional to 250.92, 376.59 and 106.74

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Solution

The fourth proportional to 250.92, 376.59 and 106.74 is: 160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.92 : 376.59 = 106.74 : x
  2. Step 2: Convert to fraction form
    250.92/376.59 = 106.74/x
  3. Step 3: Cross multiply
    250.92x = 376.59 × 106.74
  4. Step 4: Simplify right side
    250.92x = 40,197.22
  5. Step 5: Solve for x
    x = 40,197.22/250.92
  6. Step 6: Final answer
    x = 160.20

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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.