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Finding the Fourth Proportional to 261.63, 361.00 and 149.60

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Solution

The fourth proportional to 261.63, 361.00 and 149.60 is: 206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.63 : 361.00 = 149.60 : x
  2. Step 2: Convert to fraction form
    261.63/361.00 = 149.60/x
  3. Step 3: Cross multiply
    261.63x = 361.00 × 149.60
  4. Step 4: Simplify right side
    261.63x = 54,003.98
  5. Step 5: Solve for x
    x = 54,003.98/261.63
  6. Step 6: Final answer
    x = 206.41

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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.