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Finding the Fourth Proportional to 195.05, 268.61 and 146.04

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Solution

The fourth proportional to 195.05, 268.61 and 146.04 is: 201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.05 : 268.61 = 146.04 : x
  2. Step 2: Convert to fraction form
    195.05/268.61 = 146.04/x
  3. Step 3: Cross multiply
    195.05x = 268.61 × 146.04
  4. Step 4: Simplify right side
    195.05x = 39,227.07
  5. Step 5: Solve for x
    x = 39,227.07/195.05
  6. Step 6: Final answer
    x = 201.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.