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Finding the Fourth Proportional to 261.86, 361.35 and 145.42

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Solution

The fourth proportional to 261.86, 361.35 and 145.42 is: 200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.86 : 361.35 = 145.42 : x
  2. Step 2: Convert to fraction form
    261.86/361.35 = 145.42/x
  3. Step 3: Cross multiply
    261.86x = 361.35 × 145.42
  4. Step 4: Simplify right side
    261.86x = 52,546.61
  5. Step 5: Solve for x
    x = 52,546.61/261.86
  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.