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Finding the Fourth Proportional to 195.08, 292.32 and 122.88

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Solution

The fourth proportional to 195.08, 292.32 and 122.88 is: 184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.08 : 292.32 = 122.88 : x
  2. Step 2: Convert to fraction form
    195.08/292.32 = 122.88/x
  3. Step 3: Cross multiply
    195.08x = 292.32 × 122.88
  4. Step 4: Simplify right side
    195.08x = 35,920.28
  5. Step 5: Solve for x
    x = 35,920.28/195.08
  6. Step 6: Final answer
    x = 184.13

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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.