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Finding the Fourth Proportional to 215.44, 321.35 and 196

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Solution

The fourth proportional to 215.44, 321.35 and 196 is: 292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.44 : 321.35 = 196 : x
  2. Step 2: Convert to fraction form
    215.44/321.35 = 196/x
  3. Step 3: Cross multiply
    215.44x = 321.35 × 196
  4. Step 4: Simplify right side
    215.44x = 62,984.60
  5. Step 5: Solve for x
    x = 62,984.60/215.44
  6. Step 6: Final answer
    x = 292.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.