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Finding the Fourth Proportional to 310.50, 466.12 and 206.47

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Solution

The fourth proportional to 310.50, 466.12 and 206.47 is: 309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.50 : 466.12 = 206.47 : x
  2. Step 2: Convert to fraction form
    310.50/466.12 = 206.47/x
  3. Step 3: Cross multiply
    310.50x = 466.12 × 206.47
  4. Step 4: Simplify right side
    310.50x = 96,239.80
  5. Step 5: Solve for x
    x = 96,239.80/310.50
  6. Step 6: Final answer
    x = 309.95

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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.