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Finding the Fourth Proportional to 276.50, 414.82 and 105.50

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Solution

The fourth proportional to 276.50, 414.82 and 105.50 is: 158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.50 : 414.82 = 105.50 : x
  2. Step 2: Convert to fraction form
    276.50/414.82 = 105.50/x
  3. Step 3: Cross multiply
    276.50x = 414.82 × 105.50
  4. Step 4: Simplify right side
    276.50x = 43,763.51
  5. Step 5: Solve for x
    x = 43,763.51/276.50
  6. Step 6: Final answer
    x = 158.28

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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.