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Finding the Fourth Proportional to 207.55, 286.42 and 119.05

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Solution

The fourth proportional to 207.55, 286.42 and 119.05 is: 164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.55 : 286.42 = 119.05 : x
  2. Step 2: Convert to fraction form
    207.55/286.42 = 119.05/x
  3. Step 3: Cross multiply
    207.55x = 286.42 × 119.05
  4. Step 4: Simplify right side
    207.55x = 34,097.29
  5. Step 5: Solve for x
    x = 34,097.29/207.55
  6. Step 6: Final answer
    x = 164.28

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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.