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Finding the Fourth Proportional to 165.76, 228.42 and 158.68

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Solution

The fourth proportional to 165.76, 228.42 and 158.68 is: 218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.76 : 228.42 = 158.68 : x
  2. Step 2: Convert to fraction form
    165.76/228.42 = 158.68/x
  3. Step 3: Cross multiply
    165.76x = 228.42 × 158.68
  4. Step 4: Simplify right side
    165.76x = 36,245.69
  5. Step 5: Solve for x
    x = 36,245.69/165.76
  6. Step 6: Final answer
    x = 218.66

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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.