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Finding the Fourth Proportional to 416.21, 623.64 and 142.16

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Solution

The fourth proportional to 416.21, 623.64 and 142.16 is: 213.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.21 : 623.64 = 142.16 : x
  2. Step 2: Convert to fraction form
    416.21/623.64 = 142.16/x
  3. Step 3: Cross multiply
    416.21x = 623.64 × 142.16
  4. Step 4: Simplify right side
    416.21x = 88,653.08
  5. Step 5: Solve for x
    x = 88,653.08/416.21
  6. Step 6: Final answer
    x = 213.00

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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.