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Finding the Fourth Proportional to 241.54, 360.96 and 179.98

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Solution

The fourth proportional to 241.54, 360.96 and 179.98 is: 268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.54 : 360.96 = 179.98 : x
  2. Step 2: Convert to fraction form
    241.54/360.96 = 179.98/x
  3. Step 3: Cross multiply
    241.54x = 360.96 × 179.98
  4. Step 4: Simplify right side
    241.54x = 64,962.88
  5. Step 5: Solve for x
    x = 64,962.88/241.54
  6. Step 6: Final answer
    x = 268.96

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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.