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Finding the Fourth Proportional to 250.14, 374.66 and 206.31

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Solution

The fourth proportional to 250.14, 374.66 and 206.31 is: 309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.14 : 374.66 = 206.31 : x
  2. Step 2: Convert to fraction form
    250.14/374.66 = 206.31/x
  3. Step 3: Cross multiply
    250.14x = 374.66 × 206.31
  4. Step 4: Simplify right side
    250.14x = 77,297.04
  5. Step 5: Solve for x
    x = 77,297.04/250.14
  6. Step 6: Final answer
    x = 309.02

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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.