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Finding the Fourth Proportional to 207.74, 286.64 and 119.22

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Solution

The fourth proportional to 207.74, 286.64 and 119.22 is: 164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.74 : 286.64 = 119.22 : x
  2. Step 2: Convert to fraction form
    207.74/286.64 = 119.22/x
  3. Step 3: Cross multiply
    207.74x = 286.64 × 119.22
  4. Step 4: Simplify right side
    207.74x = 34,173.22
  5. Step 5: Solve for x
    x = 34,173.22/207.74
  6. Step 6: Final answer
    x = 164.50

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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.