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Finding the Fourth Proportional to 318.20, 477.32 and 181.20

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Solution

The fourth proportional to 318.20, 477.32 and 181.20 is: 271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.20 : 477.32 = 181.20 : x
  2. Step 2: Convert to fraction form
    318.20/477.32 = 181.20/x
  3. Step 3: Cross multiply
    318.20x = 477.32 × 181.20
  4. Step 4: Simplify right side
    318.20x = 86,490.38
  5. Step 5: Solve for x
    x = 86,490.38/318.20
  6. Step 6: Final answer
    x = 271.81

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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.