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Finding the Fourth Proportional to 207.98, 287 and 119.48

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Solution

The fourth proportional to 207.98, 287 and 119.48 is: 164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.98 : 287 = 119.48 : x
  2. Step 2: Convert to fraction form
    207.98/287 = 119.48/x
  3. Step 3: Cross multiply
    207.98x = 287 × 119.48
  4. Step 4: Simplify right side
    207.98x = 34,290.76
  5. Step 5: Solve for x
    x = 34,290.76/207.98
  6. Step 6: Final answer
    x = 164.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.