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Finding the Fourth Proportional to 257.95, 355.97 and 141.51

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Solution

The fourth proportional to 257.95, 355.97 and 141.51 is: 195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.95 : 355.97 = 141.51 : x
  2. Step 2: Convert to fraction form
    257.95/355.97 = 141.51/x
  3. Step 3: Cross multiply
    257.95x = 355.97 × 141.51
  4. Step 4: Simplify right side
    257.95x = 50,370.83
  5. Step 5: Solve for x
    x = 50,370.83/257.95
  6. Step 6: Final answer
    x = 195.28

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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.