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Finding the Fourth Proportional to 167.53, 230.86 and 118.32

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Solution

The fourth proportional to 167.53, 230.86 and 118.32 is: 163.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.53 : 230.86 = 118.32 : x
  2. Step 2: Convert to fraction form
    167.53/230.86 = 118.32/x
  3. Step 3: Cross multiply
    167.53x = 230.86 × 118.32
  4. Step 4: Simplify right side
    167.53x = 27,315.36
  5. Step 5: Solve for x
    x = 27,315.36/167.53
  6. Step 6: Final answer
    x = 163.05

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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.