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Finding the Fourth Proportional to 261.53, 361.01 and 163.42

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Solution

The fourth proportional to 261.53, 361.01 and 163.42 is: 225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.53 : 361.01 = 163.42 : x
  2. Step 2: Convert to fraction form
    261.53/361.01 = 163.42/x
  3. Step 3: Cross multiply
    261.53x = 361.01 × 163.42
  4. Step 4: Simplify right side
    261.53x = 58,994.84
  5. Step 5: Solve for x
    x = 58,994.84/261.53
  6. Step 6: Final answer
    x = 225.58

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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.