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Finding the Fourth Proportional to 416.02, 623.96 and 142.10

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Solution

The fourth proportional to 416.02, 623.96 and 142.10 is: 213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.02 : 623.96 = 142.10 : x
  2. Step 2: Convert to fraction form
    416.02/623.96 = 142.10/x
  3. Step 3: Cross multiply
    416.02x = 623.96 × 142.10
  4. Step 4: Simplify right side
    416.02x = 88,664.72
  5. Step 5: Solve for x
    x = 88,664.72/416.02
  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.