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Finding the Fourth Proportional to 165.72, 229.35 and 161.67

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Solution

The fourth proportional to 165.72, 229.35 and 161.67 is: 223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.72 : 229.35 = 161.67 : x
  2. Step 2: Convert to fraction form
    165.72/229.35 = 161.67/x
  3. Step 3: Cross multiply
    165.72x = 229.35 × 161.67
  4. Step 4: Simplify right side
    165.72x = 37,079.01
  5. Step 5: Solve for x
    x = 37,079.01/165.72
  6. Step 6: Final answer
    x = 223.74

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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.