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Finding the Fourth Proportional to 299.16, 412.56 and 186.99

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Solution

The fourth proportional to 299.16, 412.56 and 186.99 is: 257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.16 : 412.56 = 186.99 : x
  2. Step 2: Convert to fraction form
    299.16/412.56 = 186.99/x
  3. Step 3: Cross multiply
    299.16x = 412.56 × 186.99
  4. Step 4: Simplify right side
    299.16x = 77,145.37
  5. Step 5: Solve for x
    x = 77,145.37/299.16
  6. Step 6: Final answer
    x = 257.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.