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Finding the Fourth Proportional to 295.63, 407.79 and 196.05

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Solution

The fourth proportional to 295.63, 407.79 and 196.05 is: 270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.63 : 407.79 = 196.05 : x
  2. Step 2: Convert to fraction form
    295.63/407.79 = 196.05/x
  3. Step 3: Cross multiply
    295.63x = 407.79 × 196.05
  4. Step 4: Simplify right side
    295.63x = 79,947.23
  5. Step 5: Solve for x
    x = 79,947.23/295.63
  6. Step 6: Final answer
    x = 270.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.