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Finding the Fourth Proportional to 278.96, 384.63 and 180.68

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Solution

The fourth proportional to 278.96, 384.63 and 180.68 is: 249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.96 : 384.63 = 180.68 : x
  2. Step 2: Convert to fraction form
    278.96/384.63 = 180.68/x
  3. Step 3: Cross multiply
    278.96x = 384.63 × 180.68
  4. Step 4: Simplify right side
    278.96x = 69,494.95
  5. Step 5: Solve for x
    x = 69,494.95/278.96
  6. Step 6: Final answer
    x = 249.12

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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.