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Finding the Fourth Proportional to 261.82, 361.29 and 199.72

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Solution

The fourth proportional to 261.82, 361.29 and 199.72 is: 275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.82 : 361.29 = 199.72 : x
  2. Step 2: Convert to fraction form
    261.82/361.29 = 199.72/x
  3. Step 3: Cross multiply
    261.82x = 361.29 × 199.72
  4. Step 4: Simplify right side
    261.82x = 72,156.84
  5. Step 5: Solve for x
    x = 72,156.84/261.82
  6. Step 6: Final answer
    x = 275.60

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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.