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Finding the Fourth Proportional to 207.69, 286.58 and 120.35

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Solution

The fourth proportional to 207.69, 286.58 and 120.35 is: 166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.69 : 286.58 = 120.35 : x
  2. Step 2: Convert to fraction form
    207.69/286.58 = 120.35/x
  3. Step 3: Cross multiply
    207.69x = 286.58 × 120.35
  4. Step 4: Simplify right side
    207.69x = 34,487.87
  5. Step 5: Solve for x
    x = 34,487.87/207.69
  6. Step 6: Final answer
    x = 166.05

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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.