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Finding the Fourth Proportional to 241.23, 360.48 and 179.67

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Solution

The fourth proportional to 241.23, 360.48 and 179.67 is: 268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.23 : 360.48 = 179.67 : x
  2. Step 2: Convert to fraction form
    241.23/360.48 = 179.67/x
  3. Step 3: Cross multiply
    241.23x = 360.48 × 179.67
  4. Step 4: Simplify right side
    241.23x = 64,767.44
  5. Step 5: Solve for x
    x = 64,767.44/241.23
  6. Step 6: Final answer
    x = 268.49

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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.