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Finding the Fourth Proportional to 278.36, 384.29 and 185.23

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Solution

The fourth proportional to 278.36, 384.29 and 185.23 is: 255.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.36 : 384.29 = 185.23 : x
  2. Step 2: Convert to fraction form
    278.36/384.29 = 185.23/x
  3. Step 3: Cross multiply
    278.36x = 384.29 × 185.23
  4. Step 4: Simplify right side
    278.36x = 71,181.54
  5. Step 5: Solve for x
    x = 71,181.54/278.36
  6. Step 6: Final answer
    x = 255.72

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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.