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Finding the Fourth Proportional to 278.20, 415.67 and 278.20

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Solution

The fourth proportional to 278.20, 415.67 and 278.20 is: 415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.20 : 415.67 = 278.20 : x
  2. Step 2: Convert to fraction form
    278.20/415.67 = 278.20/x
  3. Step 3: Cross multiply
    278.20x = 415.67 × 278.20
  4. Step 4: Simplify right side
    278.20x = 115,639.39
  5. Step 5: Solve for x
    x = 115,639.39/278.20
  6. Step 6: Final answer
    x = 415.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.