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Finding the Fourth Proportional to 209.21, 312.00 and 204.53

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Solution

The fourth proportional to 209.21, 312.00 and 204.53 is: 305.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.21 : 312.00 = 204.53 : x
  2. Step 2: Convert to fraction form
    209.21/312.00 = 204.53/x
  3. Step 3: Cross multiply
    209.21x = 312.00 × 204.53
  4. Step 4: Simplify right side
    209.21x = 63,811.03
  5. Step 5: Solve for x
    x = 63,811.03/209.21
  6. Step 6: Final answer
    x = 305.02

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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.