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Finding the Fourth Proportional to 416.45, 624.66 and 142.54

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Solution

The fourth proportional to 416.45, 624.66 and 142.54 is: 213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.45 : 624.66 = 142.54 : x
  2. Step 2: Convert to fraction form
    416.45/624.66 = 142.54/x
  3. Step 3: Cross multiply
    416.45x = 624.66 × 142.54
  4. Step 4: Simplify right side
    416.45x = 89,038.01
  5. Step 5: Solve for x
    x = 89,038.01/416.45
  6. Step 6: Final answer
    x = 213.80

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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.