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Finding the Fourth Proportional to 416.76, 625.14 and 128.20

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Solution

The fourth proportional to 416.76, 625.14 and 128.20 is: 192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.76 : 625.14 = 128.20 : x
  2. Step 2: Convert to fraction form
    416.76/625.14 = 128.20/x
  3. Step 3: Cross multiply
    416.76x = 625.14 × 128.20
  4. Step 4: Simplify right side
    416.76x = 80,142.95
  5. Step 5: Solve for x
    x = 80,142.95/416.76
  6. Step 6: Final answer
    x = 192.30

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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.