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Finding the Fourth Proportional to 250.52, 376.01 and 209.64

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Solution

The fourth proportional to 250.52, 376.01 and 209.64 is: 314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.52 : 376.01 = 209.64 : x
  2. Step 2: Convert to fraction form
    250.52/376.01 = 209.64/x
  3. Step 3: Cross multiply
    250.52x = 376.01 × 209.64
  4. Step 4: Simplify right side
    250.52x = 78,825.69
  5. Step 5: Solve for x
    x = 78,825.69/250.52
  6. Step 6: Final answer
    x = 314.65

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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.