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Finding the Fourth Proportional to 303.40, 454.56 and 206.80

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Solution

The fourth proportional to 303.40, 454.56 and 206.80 is: 309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.40 : 454.56 = 206.80 : x
  2. Step 2: Convert to fraction form
    303.40/454.56 = 206.80/x
  3. Step 3: Cross multiply
    303.40x = 454.56 × 206.80
  4. Step 4: Simplify right side
    303.40x = 94,003.01
  5. Step 5: Solve for x
    x = 94,003.01/303.40
  6. Step 6: Final answer
    x = 309.83

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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.