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Finding the Fourth Proportional to 165.42, 228.29 and 113.67

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Solution

The fourth proportional to 165.42, 228.29 and 113.67 is: 156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.42 : 228.29 = 113.67 : x
  2. Step 2: Convert to fraction form
    165.42/228.29 = 113.67/x
  3. Step 3: Cross multiply
    165.42x = 228.29 × 113.67
  4. Step 4: Simplify right side
    165.42x = 25,949.16
  5. Step 5: Solve for x
    x = 25,949.16/165.42
  6. Step 6: Final answer
    x = 156.87

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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.