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Finding the Fourth Proportional to 229.19, 315.82 and 189.73

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Solution

The fourth proportional to 229.19, 315.82 and 189.73 is: 261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.19 : 315.82 = 189.73 : x
  2. Step 2: Convert to fraction form
    229.19/315.82 = 189.73/x
  3. Step 3: Cross multiply
    229.19x = 315.82 × 189.73
  4. Step 4: Simplify right side
    229.19x = 59,920.09
  5. Step 5: Solve for x
    x = 59,920.09/229.19
  6. Step 6: Final answer
    x = 261.45

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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.