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Finding the Fourth Proportional to 249.69, 376.24 and 207.30

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Solution

The fourth proportional to 249.69, 376.24 and 207.30 is: 312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.69 : 376.24 = 207.30 : x
  2. Step 2: Convert to fraction form
    249.69/376.24 = 207.30/x
  3. Step 3: Cross multiply
    249.69x = 376.24 × 207.30
  4. Step 4: Simplify right side
    249.69x = 77,994.55
  5. Step 5: Solve for x
    x = 77,994.55/249.69
  6. Step 6: Final answer
    x = 312.37

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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.