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Finding the Fourth Proportional to 278.52, 417.81 and 73.09

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Solution

The fourth proportional to 278.52, 417.81 and 73.09 is: 109.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.52 : 417.81 = 73.09 : x
  2. Step 2: Convert to fraction form
    278.52/417.81 = 73.09/x
  3. Step 3: Cross multiply
    278.52x = 417.81 × 73.09
  4. Step 4: Simplify right side
    278.52x = 30,537.36
  5. Step 5: Solve for x
    x = 30,537.36/278.52
  6. Step 6: Final answer
    x = 109.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.