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Finding the Fourth Proportional to 207.34, 286.16 and 118.83

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Solution

The fourth proportional to 207.34, 286.16 and 118.83 is: 164.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.34 : 286.16 = 118.83 : x
  2. Step 2: Convert to fraction form
    207.34/286.16 = 118.83/x
  3. Step 3: Cross multiply
    207.34x = 286.16 × 118.83
  4. Step 4: Simplify right side
    207.34x = 34,004.87
  5. Step 5: Solve for x
    x = 34,004.87/207.34
  6. Step 6: Final answer
    x = 164.01

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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.