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Finding the Fourth Proportional to 278.26, 384.01 and 180.09

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Solution

The fourth proportional to 278.26, 384.01 and 180.09 is: 248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.26 : 384.01 = 180.09 : x
  2. Step 2: Convert to fraction form
    278.26/384.01 = 180.09/x
  3. Step 3: Cross multiply
    278.26x = 384.01 × 180.09
  4. Step 4: Simplify right side
    278.26x = 69,155.91
  5. Step 5: Solve for x
    x = 69,155.91/278.26
  6. Step 6: Final answer
    x = 248.53

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