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Finding the Fourth Proportional to 250.70, 376.23 and 106.46

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Solution

The fourth proportional to 250.70, 376.23 and 106.46 is: 159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.70 : 376.23 = 106.46 : x
  2. Step 2: Convert to fraction form
    250.70/376.23 = 106.46/x
  3. Step 3: Cross multiply
    250.70x = 376.23 × 106.46
  4. Step 4: Simplify right side
    250.70x = 40,053.45
  5. Step 5: Solve for x
    x = 40,053.45/250.70
  6. Step 6: Final answer
    x = 159.77

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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.