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Finding the Fourth Proportional to 278.74, 417.87 and 134.38

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Solution

The fourth proportional to 278.74, 417.87 and 134.38 is: 201.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.74 : 417.87 = 134.38 : x
  2. Step 2: Convert to fraction form
    278.74/417.87 = 134.38/x
  3. Step 3: Cross multiply
    278.74x = 417.87 × 134.38
  4. Step 4: Simplify right side
    278.74x = 56,153.37
  5. Step 5: Solve for x
    x = 56,153.37/278.74
  6. Step 6: Final answer
    x = 201.45

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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.