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Finding the Fourth Proportional to 299.09, 412.48 and 216.07

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Solution

The fourth proportional to 299.09, 412.48 and 216.07 is: 297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.09 : 412.48 = 216.07 : x
  2. Step 2: Convert to fraction form
    299.09/412.48 = 216.07/x
  3. Step 3: Cross multiply
    299.09x = 412.48 × 216.07
  4. Step 4: Simplify right side
    299.09x = 89,124.55
  5. Step 5: Solve for x
    x = 89,124.55/299.09
  6. Step 6: Final answer
    x = 297.99

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Why These Related Problems?

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