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Finding the Fourth Proportional to 207.52, 286.32 and 120.16

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Solution

The fourth proportional to 207.52, 286.32 and 120.16 is: 165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.52 : 286.32 = 120.16 : x
  2. Step 2: Convert to fraction form
    207.52/286.32 = 120.16/x
  3. Step 3: Cross multiply
    207.52x = 286.32 × 120.16
  4. Step 4: Simplify right side
    207.52x = 34,404.21
  5. Step 5: Solve for x
    x = 34,404.21/207.52
  6. Step 6: Final answer
    x = 165.79

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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.