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Finding the Fourth Proportional to 185.85, 278.58 and 70.27

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Solution

The fourth proportional to 185.85, 278.58 and 70.27 is: 105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.85 : 278.58 = 70.27 : x
  2. Step 2: Convert to fraction form
    185.85/278.58 = 70.27/x
  3. Step 3: Cross multiply
    185.85x = 278.58 × 70.27
  4. Step 4: Simplify right side
    185.85x = 19,575.82
  5. Step 5: Solve for x
    x = 19,575.82/185.85
  6. Step 6: Final answer
    x = 105.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.