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Finding the Fourth Proportional to 278.67, 417.97 and 96.05

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Solution

The fourth proportional to 278.67, 417.97 and 96.05 is: 144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.67 : 417.97 = 96.05 : x
  2. Step 2: Convert to fraction form
    278.67/417.97 = 96.05/x
  3. Step 3: Cross multiply
    278.67x = 417.97 × 96.05
  4. Step 4: Simplify right side
    278.67x = 40,146.02
  5. Step 5: Solve for x
    x = 40,146.02/278.67
  6. Step 6: Final answer
    x = 144.06

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Why These Related Problems?

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