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Finding the Fourth Proportional to 167.66, 231.40 and 102.16

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Solution

The fourth proportional to 167.66, 231.40 and 102.16 is: 141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.66 : 231.40 = 102.16 : x
  2. Step 2: Convert to fraction form
    167.66/231.40 = 102.16/x
  3. Step 3: Cross multiply
    167.66x = 231.40 × 102.16
  4. Step 4: Simplify right side
    167.66x = 23,639.82
  5. Step 5: Solve for x
    x = 23,639.82/167.66
  6. Step 6: Final answer
    x = 141.00

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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.