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Finding the Fourth Proportional to 408.42, 612.90 and 192.06

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Solution

The fourth proportional to 408.42, 612.90 and 192.06 is: 288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.42 : 612.90 = 192.06 : x
  2. Step 2: Convert to fraction form
    408.42/612.90 = 192.06/x
  3. Step 3: Cross multiply
    408.42x = 612.90 × 192.06
  4. Step 4: Simplify right side
    408.42x = 117,713.57
  5. Step 5: Solve for x
    x = 117,713.57/408.42
  6. Step 6: Final answer
    x = 288.22

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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.