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Finding the Fourth Proportional to 303.70, 455.31 and 206.08

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Solution

The fourth proportional to 303.70, 455.31 and 206.08 is: 308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.70 : 455.31 = 206.08 : x
  2. Step 2: Convert to fraction form
    303.70/455.31 = 206.08/x
  3. Step 3: Cross multiply
    303.70x = 455.31 × 206.08
  4. Step 4: Simplify right side
    303.70x = 93,830.28
  5. Step 5: Solve for x
    x = 93,830.28/303.70
  6. Step 6: Final answer
    x = 308.96

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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.