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Finding the Fourth Proportional to 261.96, 361.47 and 199.63

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Solution

The fourth proportional to 261.96, 361.47 and 199.63 is: 275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.96 : 361.47 = 199.63 : x
  2. Step 2: Convert to fraction form
    261.96/361.47 = 199.63/x
  3. Step 3: Cross multiply
    261.96x = 361.47 × 199.63
  4. Step 4: Simplify right side
    261.96x = 72,160.26
  5. Step 5: Solve for x
    x = 72,160.26/261.96
  6. Step 6: Final answer
    x = 275.46

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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.