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Finding the Fourth Proportional to 293.24, 438.96 and 241.76

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Solution

The fourth proportional to 293.24, 438.96 and 241.76 is: 361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.24 : 438.96 = 241.76 : x
  2. Step 2: Convert to fraction form
    293.24/438.96 = 241.76/x
  3. Step 3: Cross multiply
    293.24x = 438.96 × 241.76
  4. Step 4: Simplify right side
    293.24x = 106,122.97
  5. Step 5: Solve for x
    x = 106,122.97/293.24
  6. Step 6: Final answer
    x = 361.90

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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.