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Finding the Fourth Proportional to 241.94, 361.04 and 203.06

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Solution

The fourth proportional to 241.94, 361.04 and 203.06 is: 303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.94 : 361.04 = 203.06 : x
  2. Step 2: Convert to fraction form
    241.94/361.04 = 203.06/x
  3. Step 3: Cross multiply
    241.94x = 361.04 × 203.06
  4. Step 4: Simplify right side
    241.94x = 73,312.78
  5. Step 5: Solve for x
    x = 73,312.78/241.94
  6. Step 6: Final answer
    x = 303.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.