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Finding the Fourth Proportional to 241.23, 360.90 and 202.77

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Solution

The fourth proportional to 241.23, 360.90 and 202.77 is: 303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.23 : 360.90 = 202.77 : x
  2. Step 2: Convert to fraction form
    241.23/360.90 = 202.77/x
  3. Step 3: Cross multiply
    241.23x = 360.90 × 202.77
  4. Step 4: Simplify right side
    241.23x = 73,179.69
  5. Step 5: Solve for x
    x = 73,179.69/241.23
  6. Step 6: Final answer
    x = 303.36

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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.