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Finding the Fourth Proportional to 416.68, 625.14 and 128.14

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Solution

The fourth proportional to 416.68, 625.14 and 128.14 is: 192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.68 : 625.14 = 128.14 : x
  2. Step 2: Convert to fraction form
    416.68/625.14 = 128.14/x
  3. Step 3: Cross multiply
    416.68x = 625.14 × 128.14
  4. Step 4: Simplify right side
    416.68x = 80,105.44
  5. Step 5: Solve for x
    x = 80,105.44/416.68
  6. Step 6: Final answer
    x = 192.25

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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.