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Finding the Fourth Proportional to 261.98, 361.76 and 163.90

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Solution

The fourth proportional to 261.98, 361.76 and 163.90 is: 226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.98 : 361.76 = 163.90 : x
  2. Step 2: Convert to fraction form
    261.98/361.76 = 163.90/x
  3. Step 3: Cross multiply
    261.98x = 361.76 × 163.90
  4. Step 4: Simplify right side
    261.98x = 59,290.74
  5. Step 5: Solve for x
    x = 59,290.74/261.98
  6. Step 6: Final answer
    x = 226.32

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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.