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Finding the Fourth Proportional to 261, 360.25 and 198.77

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Solution

The fourth proportional to 261, 360.25 and 198.77 is: 274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    261 : 360.25 = 198.77 : x
  2. Step 2: Convert to fraction form
    261/360.25 = 198.77/x
  3. Step 3: Cross multiply
    261x = 360.25 × 198.77
  4. Step 4: Simplify right side
    261x = 71,604.59
  5. Step 5: Solve for x
    x = 71,604.59/261
  6. Step 6: Final answer
    x = 274.35

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