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Finding the Fourth Proportional to 270.44, 402.92 and 241.68

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Solution

The fourth proportional to 270.44, 402.92 and 241.68 is: 360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.44 : 402.92 = 241.68 : x
  2. Step 2: Convert to fraction form
    270.44/402.92 = 241.68/x
  3. Step 3: Cross multiply
    270.44x = 402.92 × 241.68
  4. Step 4: Simplify right side
    270.44x = 97,377.71
  5. Step 5: Solve for x
    x = 97,377.71/270.44
  6. Step 6: Final answer
    x = 360.07

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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.