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Finding the Fourth Proportional to 195.06, 292.41 and 130.11

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Solution

The fourth proportional to 195.06, 292.41 and 130.11 is: 195.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.06 : 292.41 = 130.11 : x
  2. Step 2: Convert to fraction form
    195.06/292.41 = 130.11/x
  3. Step 3: Cross multiply
    195.06x = 292.41 × 130.11
  4. Step 4: Simplify right side
    195.06x = 38,044.37
  5. Step 5: Solve for x
    x = 38,044.37/195.06
  6. Step 6: Final answer
    x = 195.04

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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.