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Finding the Fourth Proportional to 241.19, 359.93 and 202.31

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Solution

The fourth proportional to 241.19, 359.93 and 202.31 is: 301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.19 : 359.93 = 202.31 : x
  2. Step 2: Convert to fraction form
    241.19/359.93 = 202.31/x
  3. Step 3: Cross multiply
    241.19x = 359.93 × 202.31
  4. Step 4: Simplify right side
    241.19x = 72,817.44
  5. Step 5: Solve for x
    x = 72,817.44/241.19
  6. Step 6: Final answer
    x = 301.91

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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.