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Finding the Fourth Proportional to 411.99, 617.99 and 138.10

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Solution

The fourth proportional to 411.99, 617.99 and 138.10 is: 207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.99 : 617.99 = 138.10 : x
  2. Step 2: Convert to fraction form
    411.99/617.99 = 138.10/x
  3. Step 3: Cross multiply
    411.99x = 617.99 × 138.10
  4. Step 4: Simplify right side
    411.99x = 85,344.42
  5. Step 5: Solve for x
    x = 85,344.42/411.99
  6. Step 6: Final answer
    x = 207.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.