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Finding the Fourth Proportional to 254.42, 352.71 and 241.24

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Solution

The fourth proportional to 254.42, 352.71 and 241.24 is: 334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.42 : 352.71 = 241.24 : x
  2. Step 2: Convert to fraction form
    254.42/352.71 = 241.24/x
  3. Step 3: Cross multiply
    254.42x = 352.71 × 241.24
  4. Step 4: Simplify right side
    254.42x = 85,087.76
  5. Step 5: Solve for x
    x = 85,087.76/254.42
  6. Step 6: Final answer
    x = 334.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.