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Finding the Fourth Proportional to 416.05, 624.11 and 142.16

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Solution

The fourth proportional to 416.05, 624.11 and 142.16 is: 213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.05 : 624.11 = 142.16 : x
  2. Step 2: Convert to fraction form
    416.05/624.11 = 142.16/x
  3. Step 3: Cross multiply
    416.05x = 624.11 × 142.16
  4. Step 4: Simplify right side
    416.05x = 88,719.65
  5. Step 5: Solve for x
    x = 88,719.65/416.05
  6. Step 6: Final answer
    x = 213.24

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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.