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Finding the Fourth Proportional to 416.86, 625.09 and 142.88

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Solution

The fourth proportional to 416.86, 625.09 and 142.88 is: 214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.86 : 625.09 = 142.88 : x
  2. Step 2: Convert to fraction form
    416.86/625.09 = 142.88/x
  3. Step 3: Cross multiply
    416.86x = 625.09 × 142.88
  4. Step 4: Simplify right side
    416.86x = 89,312.86
  5. Step 5: Solve for x
    x = 89,312.86/416.86
  6. Step 6: Final answer
    x = 214.25

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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.