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Finding the Fourth Proportional to 278.32, 384.02 and 185.08

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Solution

The fourth proportional to 278.32, 384.02 and 185.08 is: 255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.32 : 384.02 = 185.08 : x
  2. Step 2: Convert to fraction form
    278.32/384.02 = 185.08/x
  3. Step 3: Cross multiply
    278.32x = 384.02 × 185.08
  4. Step 4: Simplify right side
    278.32x = 71,074.42
  5. Step 5: Solve for x
    x = 71,074.42/278.32
  6. Step 6: Final answer
    x = 255.37

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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.