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Finding the Fourth Proportional to 166.49, 229.84 and 153.31

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Solution

The fourth proportional to 166.49, 229.84 and 153.31 is: 211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.49 : 229.84 = 153.31 : x
  2. Step 2: Convert to fraction form
    166.49/229.84 = 153.31/x
  3. Step 3: Cross multiply
    166.49x = 229.84 × 153.31
  4. Step 4: Simplify right side
    166.49x = 35,236.77
  5. Step 5: Solve for x
    x = 35,236.77/166.49
  6. Step 6: Final answer
    x = 211.65

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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.