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Finding the Fourth Proportional to 258.80, 356.94 and 175.97

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Solution

The fourth proportional to 258.80, 356.94 and 175.97 is: 242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.80 : 356.94 = 175.97 : x
  2. Step 2: Convert to fraction form
    258.80/356.94 = 175.97/x
  3. Step 3: Cross multiply
    258.80x = 356.94 × 175.97
  4. Step 4: Simplify right side
    258.80x = 62,811.62
  5. Step 5: Solve for x
    x = 62,811.62/258.80
  6. Step 6: Final answer
    x = 242.71

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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.