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Finding the Fourth Proportional to 329.36, 454.55 and 205.07

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Solution

The fourth proportional to 329.36, 454.55 and 205.07 is: 283.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.36 : 454.55 = 205.07 : x
  2. Step 2: Convert to fraction form
    329.36/454.55 = 205.07/x
  3. Step 3: Cross multiply
    329.36x = 454.55 × 205.07
  4. Step 4: Simplify right side
    329.36x = 93,211.27
  5. Step 5: Solve for x
    x = 93,211.27/329.36
  6. Step 6: Final answer
    x = 283.01

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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.