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Finding the Fourth Proportional to 195.30, 292.50 and 154.75

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Solution

The fourth proportional to 195.30, 292.50 and 154.75 is: 231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.30 : 292.50 = 154.75 : x
  2. Step 2: Convert to fraction form
    195.30/292.50 = 154.75/x
  3. Step 3: Cross multiply
    195.30x = 292.50 × 154.75
  4. Step 4: Simplify right side
    195.30x = 45,264.16
  5. Step 5: Solve for x
    x = 45,264.16/195.30
  6. Step 6: Final answer
    x = 231.76

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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.