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Finding the Fourth Proportional to 166.04, 229.04 and 154.31

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Solution

The fourth proportional to 166.04, 229.04 and 154.31 is: 212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.04 : 229.04 = 154.31 : x
  2. Step 2: Convert to fraction form
    166.04/229.04 = 154.31/x
  3. Step 3: Cross multiply
    166.04x = 229.04 × 154.31
  4. Step 4: Simplify right side
    166.04x = 35,341.82
  5. Step 5: Solve for x
    x = 35,341.82/166.04
  6. Step 6: Final answer
    x = 212.85

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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.