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Finding the Fourth Proportional to 166.82, 229.68 and 146.07

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Solution

The fourth proportional to 166.82, 229.68 and 146.07 is: 201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.82 : 229.68 = 146.07 : x
  2. Step 2: Convert to fraction form
    166.82/229.68 = 146.07/x
  3. Step 3: Cross multiply
    166.82x = 229.68 × 146.07
  4. Step 4: Simplify right side
    166.82x = 33,549.36
  5. Step 5: Solve for x
    x = 33,549.36/166.82
  6. Step 6: Final answer
    x = 201.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.