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Finding the Fourth Proportional to 278.54, 384.70 and 185.44

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Solution

The fourth proportional to 278.54, 384.70 and 185.44 is: 256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.54 : 384.70 = 185.44 : x
  2. Step 2: Convert to fraction form
    278.54/384.70 = 185.44/x
  3. Step 3: Cross multiply
    278.54x = 384.70 × 185.44
  4. Step 4: Simplify right side
    278.54x = 71,338.41
  5. Step 5: Solve for x
    x = 71,338.41/278.54
  6. Step 6: Final answer
    x = 256.12

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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.