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Finding the Fourth Proportional to 207.35, 286.16 and 114.09

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Solution

The fourth proportional to 207.35, 286.16 and 114.09 is: 157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.35 : 286.16 = 114.09 : x
  2. Step 2: Convert to fraction form
    207.35/286.16 = 114.09/x
  3. Step 3: Cross multiply
    207.35x = 286.16 × 114.09
  4. Step 4: Simplify right side
    207.35x = 32,648.49
  5. Step 5: Solve for x
    x = 32,648.49/207.35
  6. Step 6: Final answer
    x = 157.45

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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.