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Finding the Fourth Proportional to 612.95, 919.00 and 196.34

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Solution

The fourth proportional to 612.95, 919.00 and 196.34 is: 294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.95 : 919.00 = 196.34 : x
  2. Step 2: Convert to fraction form
    612.95/919.00 = 196.34/x
  3. Step 3: Cross multiply
    612.95x = 919.00 × 196.34
  4. Step 4: Simplify right side
    612.95x = 180,435.48
  5. Step 5: Solve for x
    x = 180,435.48/612.95
  6. Step 6: Final answer
    x = 294.37

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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.