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Finding the Fourth Proportional to 195.19, 292.61 and 73.37

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Solution

The fourth proportional to 195.19, 292.61 and 73.37 is: 109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.19 : 292.61 = 73.37 : x
  2. Step 2: Convert to fraction form
    195.19/292.61 = 73.37/x
  3. Step 3: Cross multiply
    195.19x = 292.61 × 73.37
  4. Step 4: Simplify right side
    195.19x = 21,467.52
  5. Step 5: Solve for x
    x = 21,467.52/195.19
  6. Step 6: Final answer
    x = 109.98

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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.