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Finding the Fourth Proportional to 278.98, 384.73 and 184.41

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Solution

The fourth proportional to 278.98, 384.73 and 184.41 is: 254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.98 : 384.73 = 184.41 : x
  2. Step 2: Convert to fraction form
    278.98/384.73 = 184.41/x
  3. Step 3: Cross multiply
    278.98x = 384.73 × 184.41
  4. Step 4: Simplify right side
    278.98x = 70,947.10
  5. Step 5: Solve for x
    x = 70,947.10/278.98
  6. Step 6: Final answer
    x = 254.31

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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.