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Finding the Fourth Proportional to 241.46, 360.43 and 207.44

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Solution

The fourth proportional to 241.46, 360.43 and 207.44 is: 309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.46 : 360.43 = 207.44 : x
  2. Step 2: Convert to fraction form
    241.46/360.43 = 207.44/x
  3. Step 3: Cross multiply
    241.46x = 360.43 × 207.44
  4. Step 4: Simplify right side
    241.46x = 74,769.82
  5. Step 5: Solve for x
    x = 74,769.82/241.46
  6. Step 6: Final answer
    x = 309.65

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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.