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Finding the Fourth Proportional to 411.99, 618.00 and 138.11

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Solution

The fourth proportional to 411.99, 618.00 and 138.11 is: 207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.99 : 618.00 = 138.11 : x
  2. Step 2: Convert to fraction form
    411.99/618.00 = 138.11/x
  3. Step 3: Cross multiply
    411.99x = 618.00 × 138.11
  4. Step 4: Simplify right side
    411.99x = 85,348.37
  5. Step 5: Solve for x
    x = 85,348.37/411.99
  6. Step 6: Final answer
    x = 207.16

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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.