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Finding the Fourth Proportional to 278.21, 417.04 and 133.85

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Solution

The fourth proportional to 278.21, 417.04 and 133.85 is: 200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.21 : 417.04 = 133.85 : x
  2. Step 2: Convert to fraction form
    278.21/417.04 = 133.85/x
  3. Step 3: Cross multiply
    278.21x = 417.04 × 133.85
  4. Step 4: Simplify right side
    278.21x = 55,820.70
  5. Step 5: Solve for x
    x = 55,820.70/278.21
  6. Step 6: Final answer
    x = 200.64

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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.