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Finding the Fourth Proportional to 231.66, 348.93 and 206.28

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Solution

The fourth proportional to 231.66, 348.93 and 206.28 is: 310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.66 : 348.93 = 206.28 : x
  2. Step 2: Convert to fraction form
    231.66/348.93 = 206.28/x
  3. Step 3: Cross multiply
    231.66x = 348.93 × 206.28
  4. Step 4: Simplify right side
    231.66x = 71,977.28
  5. Step 5: Solve for x
    x = 71,977.28/231.66
  6. Step 6: Final answer
    x = 310.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.