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Finding the Fourth Proportional to 299.10, 412.63 and 216.08

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Solution

The fourth proportional to 299.10, 412.63 and 216.08 is: 298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.10 : 412.63 = 216.08 : x
  2. Step 2: Convert to fraction form
    299.10/412.63 = 216.08/x
  3. Step 3: Cross multiply
    299.10x = 412.63 × 216.08
  4. Step 4: Simplify right side
    299.10x = 89,160.03
  5. Step 5: Solve for x
    x = 89,160.03/299.10
  6. Step 6: Final answer
    x = 298.09

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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.