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Finding the Fourth Proportional to 257.26, 355.02 and 140.84

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Solution

The fourth proportional to 257.26, 355.02 and 140.84 is: 194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.26 : 355.02 = 140.84 : x
  2. Step 2: Convert to fraction form
    257.26/355.02 = 140.84/x
  3. Step 3: Cross multiply
    257.26x = 355.02 × 140.84
  4. Step 4: Simplify right side
    257.26x = 50,001.02
  5. Step 5: Solve for x
    x = 50,001.02/257.26
  6. Step 6: Final answer
    x = 194.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.