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Finding the Fourth Proportional to 206.73, 310.08 and 116.00

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Solution

The fourth proportional to 206.73, 310.08 and 116.00 is: 173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.73 : 310.08 = 116.00 : x
  2. Step 2: Convert to fraction form
    206.73/310.08 = 116.00/x
  3. Step 3: Cross multiply
    206.73x = 310.08 × 116.00
  4. Step 4: Simplify right side
    206.73x = 35,967.73
  5. Step 5: Solve for x
    x = 35,967.73/206.73
  6. Step 6: Final answer
    x = 173.98

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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.