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Finding the Fourth Proportional to 195.28, 292.62 and 141.08

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Solution

The fourth proportional to 195.28, 292.62 and 141.08 is: 211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.28 : 292.62 = 141.08 : x
  2. Step 2: Convert to fraction form
    195.28/292.62 = 141.08/x
  3. Step 3: Cross multiply
    195.28x = 292.62 × 141.08
  4. Step 4: Simplify right side
    195.28x = 41,282.83
  5. Step 5: Solve for x
    x = 41,282.83/195.28
  6. Step 6: Final answer
    x = 211.40

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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.