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Finding the Fourth Proportional to 803.23, 1,205.05 and 226.11

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Solution

The fourth proportional to 803.23, 1,205.05 and 226.11 is: 339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.23 : 1,205.05 = 226.11 : x
  2. Step 2: Convert to fraction form
    803.23/1,205.05 = 226.11/x
  3. Step 3: Cross multiply
    803.23x = 1,205.05 × 226.11
  4. Step 4: Simplify right side
    803.23x = 272,470.84
  5. Step 5: Solve for x
    x = 272,470.84/803.23
  6. Step 6: Final answer
    x = 339.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.