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Finding the Fourth Proportional to 195.86, 292.16 and 181.32

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Solution

The fourth proportional to 195.86, 292.16 and 181.32 is: 270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.86 : 292.16 = 181.32 : x
  2. Step 2: Convert to fraction form
    195.86/292.16 = 181.32/x
  3. Step 3: Cross multiply
    195.86x = 292.16 × 181.32
  4. Step 4: Simplify right side
    195.86x = 52,973.54
  5. Step 5: Solve for x
    x = 52,973.54/195.86
  6. Step 6: Final answer
    x = 270.47

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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.