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Finding the Fourth Proportional to 166.14, 229.50 and 133.35

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Solution

The fourth proportional to 166.14, 229.50 and 133.35 is: 184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.14 : 229.50 = 133.35 : x
  2. Step 2: Convert to fraction form
    166.14/229.50 = 133.35/x
  3. Step 3: Cross multiply
    166.14x = 229.50 × 133.35
  4. Step 4: Simplify right side
    166.14x = 30,603.83
  5. Step 5: Solve for x
    x = 30,603.83/166.14
  6. Step 6: Final answer
    x = 184.21

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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.