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Finding the Fourth Proportional to 261.93, 361.22 and 199.65

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Solution

The fourth proportional to 261.93, 361.22 and 199.65 is: 275.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.93 : 361.22 = 199.65 : x
  2. Step 2: Convert to fraction form
    261.93/361.22 = 199.65/x
  3. Step 3: Cross multiply
    261.93x = 361.22 × 199.65
  4. Step 4: Simplify right side
    261.93x = 72,116.57
  5. Step 5: Solve for x
    x = 72,116.57/261.93
  6. Step 6: Final answer
    x = 275.33

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