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Finding the Fourth Proportional to 185.24, 277.93 and 63.54

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Solution

The fourth proportional to 185.24, 277.93 and 63.54 is: 95.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.24 : 277.93 = 63.54 : x
  2. Step 2: Convert to fraction form
    185.24/277.93 = 63.54/x
  3. Step 3: Cross multiply
    185.24x = 277.93 × 63.54
  4. Step 4: Simplify right side
    185.24x = 17,657.96
  5. Step 5: Solve for x
    x = 17,657.96/185.24
  6. Step 6: Final answer
    x = 95.33

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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.