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Finding the Fourth Proportional to 209.28, 312.06 and 204.60

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Solution

The fourth proportional to 209.28, 312.06 and 204.60 is: 305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.28 : 312.06 = 204.60 : x
  2. Step 2: Convert to fraction form
    209.28/312.06 = 204.60/x
  3. Step 3: Cross multiply
    209.28x = 312.06 × 204.60
  4. Step 4: Simplify right side
    209.28x = 63,847.48
  5. Step 5: Solve for x
    x = 63,847.48/209.28
  6. Step 6: Final answer
    x = 305.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.