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Finding the Fourth Proportional to 261.58, 361.02 and 199.31

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Solution

The fourth proportional to 261.58, 361.02 and 199.31 is: 275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.58 : 361.02 = 199.31 : x
  2. Step 2: Convert to fraction form
    261.58/361.02 = 199.31/x
  3. Step 3: Cross multiply
    261.58x = 361.02 × 199.31
  4. Step 4: Simplify right side
    261.58x = 71,954.90
  5. Step 5: Solve for x
    x = 71,954.90/261.58
  6. Step 6: Final answer
    x = 275.08

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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.