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Finding the Fourth Proportional to 258.45, 356.91 and 175.83

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Solution

The fourth proportional to 258.45, 356.91 and 175.83 is: 242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.45 : 356.91 = 175.83 : x
  2. Step 2: Convert to fraction form
    258.45/356.91 = 175.83/x
  3. Step 3: Cross multiply
    258.45x = 356.91 × 175.83
  4. Step 4: Simplify right side
    258.45x = 62,755.49
  5. Step 5: Solve for x
    x = 62,755.49/258.45
  6. Step 6: Final answer
    x = 242.81

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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.