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Finding the Fourth Proportional to 195.40, 294.56 and 182.19

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Solution

The fourth proportional to 195.40, 294.56 and 182.19 is: 274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.40 : 294.56 = 182.19 : x
  2. Step 2: Convert to fraction form
    195.40/294.56 = 182.19/x
  3. Step 3: Cross multiply
    195.40x = 294.56 × 182.19
  4. Step 4: Simplify right side
    195.40x = 53,664.41
  5. Step 5: Solve for x
    x = 53,664.41/195.40
  6. Step 6: Final answer
    x = 274.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.