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Finding the Fourth Proportional to 165.76, 228.68 and 113.32

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Solution

The fourth proportional to 165.76, 228.68 and 113.32 is: 156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.76 : 228.68 = 113.32 : x
  2. Step 2: Convert to fraction form
    165.76/228.68 = 113.32/x
  3. Step 3: Cross multiply
    165.76x = 228.68 × 113.32
  4. Step 4: Simplify right side
    165.76x = 25,914.02
  5. Step 5: Solve for x
    x = 25,914.02/165.76
  6. Step 6: Final answer
    x = 156.33

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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.