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Finding the Fourth Proportional to 329.10, 454.22 and 204.81

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Solution

The fourth proportional to 329.10, 454.22 and 204.81 is: 282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.10 : 454.22 = 204.81 : x
  2. Step 2: Convert to fraction form
    329.10/454.22 = 204.81/x
  3. Step 3: Cross multiply
    329.10x = 454.22 × 204.81
  4. Step 4: Simplify right side
    329.10x = 93,027.77
  5. Step 5: Solve for x
    x = 93,027.77/329.10
  6. Step 6: Final answer
    x = 282.67

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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.