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Finding the Fourth Proportional to 206.98, 308.84 and 182.36

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Solution

The fourth proportional to 206.98, 308.84 and 182.36 is: 272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.98 : 308.84 = 182.36 : x
  2. Step 2: Convert to fraction form
    206.98/308.84 = 182.36/x
  3. Step 3: Cross multiply
    206.98x = 308.84 × 182.36
  4. Step 4: Simplify right side
    206.98x = 56,320.06
  5. Step 5: Solve for x
    x = 56,320.06/206.98
  6. Step 6: Final answer
    x = 272.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.