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Finding the Fourth Proportional to 207.56, 286.50 and 120.22

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Solution

The fourth proportional to 207.56, 286.50 and 120.22 is: 165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.56 : 286.50 = 120.22 : x
  2. Step 2: Convert to fraction form
    207.56/286.50 = 120.22/x
  3. Step 3: Cross multiply
    207.56x = 286.50 × 120.22
  4. Step 4: Simplify right side
    207.56x = 34,442.76
  5. Step 5: Solve for x
    x = 34,442.76/207.56
  6. Step 6: Final answer
    x = 165.94

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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.