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Finding the Fourth Proportional to 399.75, 599.51 and 122.13

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Solution

The fourth proportional to 399.75, 599.51 and 122.13 is: 183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.75 : 599.51 = 122.13 : x
  2. Step 2: Convert to fraction form
    399.75/599.51 = 122.13/x
  3. Step 3: Cross multiply
    399.75x = 599.51 × 122.13
  4. Step 4: Simplify right side
    399.75x = 73,218.16
  5. Step 5: Solve for x
    x = 73,218.16/399.75
  6. Step 6: Final answer
    x = 183.16

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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.