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Finding the Fourth Proportional to 566.72, 850.06 and 181.94

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Solution

The fourth proportional to 566.72, 850.06 and 181.94 is: 272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.72 : 850.06 = 181.94 : x
  2. Step 2: Convert to fraction form
    566.72/850.06 = 181.94/x
  3. Step 3: Cross multiply
    566.72x = 850.06 × 181.94
  4. Step 4: Simplify right side
    566.72x = 154,659.92
  5. Step 5: Solve for x
    x = 154,659.92/566.72
  6. Step 6: Final answer
    x = 272.90

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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.