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Finding the Fourth Proportional to 613.99, 921.16 and 181.14

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Solution

The fourth proportional to 613.99, 921.16 and 181.14 is: 271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.99 : 921.16 = 181.14 : x
  2. Step 2: Convert to fraction form
    613.99/921.16 = 181.14/x
  3. Step 3: Cross multiply
    613.99x = 921.16 × 181.14
  4. Step 4: Simplify right side
    613.99x = 166,858.02
  5. Step 5: Solve for x
    x = 166,858.02/613.99
  6. Step 6: Final answer
    x = 271.76

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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.