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Finding the Fourth Proportional to 474.15, 711.06 and 181.68

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Solution

The fourth proportional to 474.15, 711.06 and 181.68 is: 272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.15 : 711.06 = 181.68 : x
  2. Step 2: Convert to fraction form
    474.15/711.06 = 181.68/x
  3. Step 3: Cross multiply
    474.15x = 711.06 × 181.68
  4. Step 4: Simplify right side
    474.15x = 129,183.05
  5. Step 5: Solve for x
    x = 129,183.05/474.15
  6. Step 6: Final answer
    x = 272.45

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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.