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Finding the Fourth Proportional to 167.15, 250.83 and 86.00

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Solution

The fourth proportional to 167.15, 250.83 and 86.00 is: 129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.15 : 250.83 = 86.00 : x
  2. Step 2: Convert to fraction form
    167.15/250.83 = 86.00/x
  3. Step 3: Cross multiply
    167.15x = 250.83 × 86.00
  4. Step 4: Simplify right side
    167.15x = 21,570.13
  5. Step 5: Solve for x
    x = 21,570.13/167.15
  6. Step 6: Final answer
    x = 129.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.