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Finding the Fourth Proportional to 278.28, 384.13 and 185.06

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Solution

The fourth proportional to 278.28, 384.13 and 185.06 is: 255.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.28 : 384.13 = 185.06 : x
  2. Step 2: Convert to fraction form
    278.28/384.13 = 185.06/x
  3. Step 3: Cross multiply
    278.28x = 384.13 × 185.06
  4. Step 4: Simplify right side
    278.28x = 71,087.10
  5. Step 5: Solve for x
    x = 71,087.10/278.28
  6. Step 6: Final answer
    x = 255.45

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