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Finding the Fourth Proportional to 278.94, 384.94 and 180.68

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Solution

The fourth proportional to 278.94, 384.94 and 180.68 is: 249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.94 : 384.94 = 180.68 : x
  2. Step 2: Convert to fraction form
    278.94/384.94 = 180.68/x
  3. Step 3: Cross multiply
    278.94x = 384.94 × 180.68
  4. Step 4: Simplify right side
    278.94x = 69,548.13
  5. Step 5: Solve for x
    x = 69,548.13/278.94
  6. Step 6: Final answer
    x = 249.33

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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.