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Finding the Fourth Proportional to 195.30, 292.32 and 103.77

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Solution

The fourth proportional to 195.30, 292.32 and 103.77 is: 155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.30 : 292.32 = 103.77 : x
  2. Step 2: Convert to fraction form
    195.30/292.32 = 103.77/x
  3. Step 3: Cross multiply
    195.30x = 292.32 × 103.77
  4. Step 4: Simplify right side
    195.30x = 30,334.05
  5. Step 5: Solve for x
    x = 30,334.05/195.30
  6. Step 6: Final answer
    x = 155.32

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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.