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Finding the Fourth Proportional to 207.81, 286.74 and 118.08

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Solution

The fourth proportional to 207.81, 286.74 and 118.08 is: 162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.81 : 286.74 = 118.08 : x
  2. Step 2: Convert to fraction form
    207.81/286.74 = 118.08/x
  3. Step 3: Cross multiply
    207.81x = 286.74 × 118.08
  4. Step 4: Simplify right side
    207.81x = 33,858.26
  5. Step 5: Solve for x
    x = 33,858.26/207.81
  6. Step 6: Final answer
    x = 162.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.