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Finding the Fourth Proportional to 416.12, 623.24 and 199.86

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Solution

The fourth proportional to 416.12, 623.24 and 199.86 is: 299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.12 : 623.24 = 199.86 : x
  2. Step 2: Convert to fraction form
    416.12/623.24 = 199.86/x
  3. Step 3: Cross multiply
    416.12x = 623.24 × 199.86
  4. Step 4: Simplify right side
    416.12x = 124,560.75
  5. Step 5: Solve for x
    x = 124,560.75/416.12
  6. Step 6: Final answer
    x = 299.34

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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.