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Finding the Fourth Proportional to 166.36, 229.08 and 165.88

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Solution

The fourth proportional to 166.36, 229.08 and 165.88 is: 228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.36 : 229.08 = 165.88 : x
  2. Step 2: Convert to fraction form
    166.36/229.08 = 165.88/x
  3. Step 3: Cross multiply
    166.36x = 229.08 × 165.88
  4. Step 4: Simplify right side
    166.36x = 37,999.79
  5. Step 5: Solve for x
    x = 37,999.79/166.36
  6. Step 6: Final answer
    x = 228.42

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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.