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Finding the Fourth Proportional to 195.73, 292.37 and 176.44

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Solution

The fourth proportional to 195.73, 292.37 and 176.44 is: 263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.73 : 292.37 = 176.44 : x
  2. Step 2: Convert to fraction form
    195.73/292.37 = 176.44/x
  3. Step 3: Cross multiply
    195.73x = 292.37 × 176.44
  4. Step 4: Simplify right side
    195.73x = 51,585.76
  5. Step 5: Solve for x
    x = 51,585.76/195.73
  6. Step 6: Final answer
    x = 263.56

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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.