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Finding the Fourth Proportional to 241.31, 361.38 and 164

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Solution

The fourth proportional to 241.31, 361.38 and 164 is: 245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.31 : 361.38 = 164 : x
  2. Step 2: Convert to fraction form
    241.31/361.38 = 164/x
  3. Step 3: Cross multiply
    241.31x = 361.38 × 164
  4. Step 4: Simplify right side
    241.31x = 59,266.32
  5. Step 5: Solve for x
    x = 59,266.32/241.31
  6. Step 6: Final answer
    x = 245.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.