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Finding the Fourth Proportional to 278.56, 384.36 and 195.64

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Solution

The fourth proportional to 278.56, 384.36 and 195.64 is: 269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.56 : 384.36 = 195.64 : x
  2. Step 2: Convert to fraction form
    278.56/384.36 = 195.64/x
  3. Step 3: Cross multiply
    278.56x = 384.36 × 195.64
  4. Step 4: Simplify right side
    278.56x = 75,196.19
  5. Step 5: Solve for x
    x = 75,196.19/278.56
  6. Step 6: Final answer
    x = 269.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.