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Finding the Fourth Proportional to 165.96, 228.80 and 130.86

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Solution

The fourth proportional to 165.96, 228.80 and 130.86 is: 180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.96 : 228.80 = 130.86 : x
  2. Step 2: Convert to fraction form
    165.96/228.80 = 130.86/x
  3. Step 3: Cross multiply
    165.96x = 228.80 × 130.86
  4. Step 4: Simplify right side
    165.96x = 29,940.77
  5. Step 5: Solve for x
    x = 29,940.77/165.96
  6. Step 6: Final answer
    x = 180.41

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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.