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Finding the Fourth Proportional to 195.10, 292.64 and 65.09

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Solution

The fourth proportional to 195.10, 292.64 and 65.09 is: 97.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.10 : 292.64 = 65.09 : x
  2. Step 2: Convert to fraction form
    195.10/292.64 = 65.09/x
  3. Step 3: Cross multiply
    195.10x = 292.64 × 65.09
  4. Step 4: Simplify right side
    195.10x = 19,047.61
  5. Step 5: Solve for x
    x = 19,047.61/195.10
  6. Step 6: Final answer
    x = 97.63

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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.