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Finding the Fourth Proportional to 249.48, 373.66 and 206.06

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Solution

The fourth proportional to 249.48, 373.66 and 206.06 is: 308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.48 : 373.66 = 206.06 : x
  2. Step 2: Convert to fraction form
    249.48/373.66 = 206.06/x
  3. Step 3: Cross multiply
    249.48x = 373.66 × 206.06
  4. Step 4: Simplify right side
    249.48x = 76,996.38
  5. Step 5: Solve for x
    x = 76,996.38/249.48
  6. Step 6: Final answer
    x = 308.63

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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.