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Finding the Fourth Proportional to 310.25, 464.77 and 206.07

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Solution

The fourth proportional to 310.25, 464.77 and 206.07 is: 308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.25 : 464.77 = 206.07 : x
  2. Step 2: Convert to fraction form
    310.25/464.77 = 206.07/x
  3. Step 3: Cross multiply
    310.25x = 464.77 × 206.07
  4. Step 4: Simplify right side
    310.25x = 95,772.90
  5. Step 5: Solve for x
    x = 95,772.90/310.25
  6. Step 6: Final answer
    x = 308.69

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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.