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Finding the Fourth Proportional to 250.14, 373.56 and 209.25

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Solution

The fourth proportional to 250.14, 373.56 and 209.25 is: 312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.14 : 373.56 = 209.25 : x
  2. Step 2: Convert to fraction form
    250.14/373.56 = 209.25/x
  3. Step 3: Cross multiply
    250.14x = 373.56 × 209.25
  4. Step 4: Simplify right side
    250.14x = 78,167.43
  5. Step 5: Solve for x
    x = 78,167.43/250.14
  6. Step 6: Final answer
    x = 312.49

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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.