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Finding the Fourth Proportional to 205.25, 282.74 and 175.65

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Solution

The fourth proportional to 205.25, 282.74 and 175.65 is: 241.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.25 : 282.74 = 175.65 : x
  2. Step 2: Convert to fraction form
    205.25/282.74 = 175.65/x
  3. Step 3: Cross multiply
    205.25x = 282.74 × 175.65
  4. Step 4: Simplify right side
    205.25x = 49,663.92
  5. Step 5: Solve for x
    x = 49,663.92/205.25
  6. Step 6: Final answer
    x = 241.97

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