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Finding the Fourth Proportional to 165.20, 228.03 and 130.24

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Solution

The fourth proportional to 165.20, 228.03 and 130.24 is: 179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.20 : 228.03 = 130.24 : x
  2. Step 2: Convert to fraction form
    165.20/228.03 = 130.24/x
  3. Step 3: Cross multiply
    165.20x = 228.03 × 130.24
  4. Step 4: Simplify right side
    165.20x = 29,697.49
  5. Step 5: Solve for x
    x = 29,697.49/165.20
  6. Step 6: Final answer
    x = 179.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.