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Finding the Fourth Proportional to 416.10, 623.82 and 196.86

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Solution

The fourth proportional to 416.10, 623.82 and 196.86 is: 295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.10 : 623.82 = 196.86 : x
  2. Step 2: Convert to fraction form
    416.10/623.82 = 196.86/x
  3. Step 3: Cross multiply
    416.10x = 623.82 × 196.86
  4. Step 4: Simplify right side
    416.10x = 122,805.21
  5. Step 5: Solve for x
    x = 122,805.21/416.10
  6. Step 6: Final answer
    x = 295.13

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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.