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Finding the Fourth Proportional to 207.66, 286.58 and 120.34

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Solution

The fourth proportional to 207.66, 286.58 and 120.34 is: 166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.66 : 286.58 = 120.34 : x
  2. Step 2: Convert to fraction form
    207.66/286.58 = 120.34/x
  3. Step 3: Cross multiply
    207.66x = 286.58 × 120.34
  4. Step 4: Simplify right side
    207.66x = 34,485.72
  5. Step 5: Solve for x
    x = 34,485.72/207.66
  6. Step 6: Final answer
    x = 166.07

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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.