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Finding the Fourth Proportional to 166.84, 229.84 and 129.99

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Solution

The fourth proportional to 166.84, 229.84 and 129.99 is: 179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.84 : 229.84 = 129.99 : x
  2. Step 2: Convert to fraction form
    166.84/229.84 = 129.99/x
  3. Step 3: Cross multiply
    166.84x = 229.84 × 129.99
  4. Step 4: Simplify right side
    166.84x = 29,876.90
  5. Step 5: Solve for x
    x = 29,876.90/166.84
  6. Step 6: Final answer
    x = 179.08

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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.