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Finding the Fourth Proportional to 167.34, 230.94 and 98.34

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Solution

The fourth proportional to 167.34, 230.94 and 98.34 is: 135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.34 : 230.94 = 98.34 : x
  2. Step 2: Convert to fraction form
    167.34/230.94 = 98.34/x
  3. Step 3: Cross multiply
    167.34x = 230.94 × 98.34
  4. Step 4: Simplify right side
    167.34x = 22,710.64
  5. Step 5: Solve for x
    x = 22,710.64/167.34
  6. Step 6: Final answer
    x = 135.72

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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.