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Finding the Fourth Proportional to 278.28, 383.81 and 190.94

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Solution

The fourth proportional to 278.28, 383.81 and 190.94 is: 263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.28 : 383.81 = 190.94 : x
  2. Step 2: Convert to fraction form
    278.28/383.81 = 190.94/x
  3. Step 3: Cross multiply
    278.28x = 383.81 × 190.94
  4. Step 4: Simplify right side
    278.28x = 73,284.68
  5. Step 5: Solve for x
    x = 73,284.68/278.28
  6. Step 6: Final answer
    x = 263.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.