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Finding the Fourth Proportional to 416.01, 624.03 and 142.08

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Solution

The fourth proportional to 416.01, 624.03 and 142.08 is: 213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.01 : 624.03 = 142.08 : x
  2. Step 2: Convert to fraction form
    416.01/624.03 = 142.08/x
  3. Step 3: Cross multiply
    416.01x = 624.03 × 142.08
  4. Step 4: Simplify right side
    416.01x = 88,662.18
  5. Step 5: Solve for x
    x = 88,662.18/416.01
  6. Step 6: Final answer
    x = 213.13

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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.