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Finding the Fourth Proportional to 241.70, 363.01 and 207.07

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Solution

The fourth proportional to 241.70, 363.01 and 207.07 is: 311.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.70 : 363.01 = 207.07 : x
  2. Step 2: Convert to fraction form
    241.70/363.01 = 207.07/x
  3. Step 3: Cross multiply
    241.70x = 363.01 × 207.07
  4. Step 4: Simplify right side
    241.70x = 75,167.44
  5. Step 5: Solve for x
    x = 75,167.44/241.70
  6. Step 6: Final answer
    x = 311.00

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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.