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Finding the Fourth Proportional to 207.64, 286.46 and 120.29

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Solution

The fourth proportional to 207.64, 286.46 and 120.29 is: 165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.64 : 286.46 = 120.29 : x
  2. Step 2: Convert to fraction form
    207.64/286.46 = 120.29/x
  3. Step 3: Cross multiply
    207.64x = 286.46 × 120.29
  4. Step 4: Simplify right side
    207.64x = 34,457.67
  5. Step 5: Solve for x
    x = 34,457.67/207.64
  6. Step 6: Final answer
    x = 165.95

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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.