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Finding the Fourth Proportional to 250.70, 376.21 and 113.67

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Solution

The fourth proportional to 250.70, 376.21 and 113.67 is: 170.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.70 : 376.21 = 113.67 : x
  2. Step 2: Convert to fraction form
    250.70/376.21 = 113.67/x
  3. Step 3: Cross multiply
    250.70x = 376.21 × 113.67
  4. Step 4: Simplify right side
    250.70x = 42,763.93
  5. Step 5: Solve for x
    x = 42,763.93/250.70
  6. Step 6: Final answer
    x = 170.58

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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.