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Finding the Fourth Proportional to 329.51, 454.75 and 205.25

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Solution

The fourth proportional to 329.51, 454.75 and 205.25 is: 283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.51 : 454.75 = 205.25 : x
  2. Step 2: Convert to fraction form
    329.51/454.75 = 205.25/x
  3. Step 3: Cross multiply
    329.51x = 454.75 × 205.25
  4. Step 4: Simplify right side
    329.51x = 93,334.65
  5. Step 5: Solve for x
    x = 93,334.65/329.51
  6. Step 6: Final answer
    x = 283.25

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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.