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Finding the Fourth Proportional to 165.86, 228.71 and 142.62

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Solution

The fourth proportional to 165.86, 228.71 and 142.62 is: 196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.86 : 228.71 = 142.62 : x
  2. Step 2: Convert to fraction form
    165.86/228.71 = 142.62/x
  3. Step 3: Cross multiply
    165.86x = 228.71 × 142.62
  4. Step 4: Simplify right side
    165.86x = 32,618.56
  5. Step 5: Solve for x
    x = 32,618.56/165.86
  6. Step 6: Final answer
    x = 196.67

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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.