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Finding the Fourth Proportional to 261.53, 393.96 and 241.48

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Solution

The fourth proportional to 261.53, 393.96 and 241.48 is: 363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.53 : 393.96 = 241.48 : x
  2. Step 2: Convert to fraction form
    261.53/393.96 = 241.48/x
  3. Step 3: Cross multiply
    261.53x = 393.96 × 241.48
  4. Step 4: Simplify right side
    261.53x = 95,134.86
  5. Step 5: Solve for x
    x = 95,134.86/261.53
  6. Step 6: Final answer
    x = 363.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.