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Finding the Fourth Proportional to 206.94, 310.82 and 182.64

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Solution

The fourth proportional to 206.94, 310.82 and 182.64 is: 274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.94 : 310.82 = 182.64 : x
  2. Step 2: Convert to fraction form
    206.94/310.82 = 182.64/x
  3. Step 3: Cross multiply
    206.94x = 310.82 × 182.64
  4. Step 4: Simplify right side
    206.94x = 56,767.25
  5. Step 5: Solve for x
    x = 56,767.25/206.94
  6. Step 6: Final answer
    x = 274.32

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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.