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Finding the Fourth Proportional to 250.99, 376.64 and 106.70

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Solution

The fourth proportional to 250.99, 376.64 and 106.70 is: 160.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.99 : 376.64 = 106.70 : x
  2. Step 2: Convert to fraction form
    250.99/376.64 = 106.70/x
  3. Step 3: Cross multiply
    250.99x = 376.64 × 106.70
  4. Step 4: Simplify right side
    250.99x = 40,186.81
  5. Step 5: Solve for x
    x = 40,186.81/250.99
  6. Step 6: Final answer
    x = 160.11

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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.