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Finding the Fourth Proportional to 261.96, 361.50 and 145.53

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Solution

The fourth proportional to 261.96, 361.50 and 145.53 is: 200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.96 : 361.50 = 145.53 : x
  2. Step 2: Convert to fraction form
    261.96/361.50 = 145.53/x
  3. Step 3: Cross multiply
    261.96x = 361.50 × 145.53
  4. Step 4: Simplify right side
    261.96x = 52,609.10
  5. Step 5: Solve for x
    x = 52,609.10/261.96
  6. Step 6: Final answer
    x = 200.83

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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.