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Finding the Fourth Proportional to 329.52, 454.68 and 205.14

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Solution

The fourth proportional to 329.52, 454.68 and 205.14 is: 283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.52 : 454.68 = 205.14 : x
  2. Step 2: Convert to fraction form
    329.52/454.68 = 205.14/x
  3. Step 3: Cross multiply
    329.52x = 454.68 × 205.14
  4. Step 4: Simplify right side
    329.52x = 93,273.06
  5. Step 5: Solve for x
    x = 93,273.06/329.52
  6. Step 6: Final answer
    x = 283.06

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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.