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Finding the Fourth Proportional to 231.25, 318.71 and 168.98

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Solution

The fourth proportional to 231.25, 318.71 and 168.98 is: 232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.25 : 318.71 = 168.98 : x
  2. Step 2: Convert to fraction form
    231.25/318.71 = 168.98/x
  3. Step 3: Cross multiply
    231.25x = 318.71 × 168.98
  4. Step 4: Simplify right side
    231.25x = 53,854.77
  5. Step 5: Solve for x
    x = 53,854.77/231.25
  6. Step 6: Final answer
    x = 232.89

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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.