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Finding the Fourth Proportional to 195.04, 268.64 and 182.64

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Solution

The fourth proportional to 195.04, 268.64 and 182.64 is: 251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.04 : 268.64 = 182.64 : x
  2. Step 2: Convert to fraction form
    195.04/268.64 = 182.64/x
  3. Step 3: Cross multiply
    195.04x = 268.64 × 182.64
  4. Step 4: Simplify right side
    195.04x = 49,064.41
  5. Step 5: Solve for x
    x = 49,064.41/195.04
  6. Step 6: Final answer
    x = 251.56

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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.