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Finding the Fourth Proportional to 261.85, 361.37 and 145.41

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Solution

The fourth proportional to 261.85, 361.37 and 145.41 is: 200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.85 : 361.37 = 145.41 : x
  2. Step 2: Convert to fraction form
    261.85/361.37 = 145.41/x
  3. Step 3: Cross multiply
    261.85x = 361.37 × 145.41
  4. Step 4: Simplify right side
    261.85x = 52,546.08
  5. Step 5: Solve for x
    x = 52,546.08/261.85
  6. Step 6: Final answer
    x = 200.67

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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.