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Finding the Fourth Proportional to 416.65, 624.83 and 142.73

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Solution

The fourth proportional to 416.65, 624.83 and 142.73 is: 214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.65 : 624.83 = 142.73 : x
  2. Step 2: Convert to fraction form
    416.65/624.83 = 142.73/x
  3. Step 3: Cross multiply
    416.65x = 624.83 × 142.73
  4. Step 4: Simplify right side
    416.65x = 89,181.99
  5. Step 5: Solve for x
    x = 89,181.99/416.65
  6. Step 6: Final answer
    x = 214.05

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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.