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Finding the Fourth Proportional to 165.60, 228.24 and 163.80

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Solution

The fourth proportional to 165.60, 228.24 and 163.80 is: 225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.60 : 228.24 = 163.80 : x
  2. Step 2: Convert to fraction form
    165.60/228.24 = 163.80/x
  3. Step 3: Cross multiply
    165.60x = 228.24 × 163.80
  4. Step 4: Simplify right side
    165.60x = 37,385.71
  5. Step 5: Solve for x
    x = 37,385.71/165.60
  6. Step 6: Final answer
    x = 225.76

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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.