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Finding the Fourth Proportional to 165.27, 228.20 and 156.61

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Solution

The fourth proportional to 165.27, 228.20 and 156.61 is: 216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.27 : 228.20 = 156.61 : x
  2. Step 2: Convert to fraction form
    165.27/228.20 = 156.61/x
  3. Step 3: Cross multiply
    165.27x = 228.20 × 156.61
  4. Step 4: Simplify right side
    165.27x = 35,738.40
  5. Step 5: Solve for x
    x = 35,738.40/165.27
  6. Step 6: Final answer
    x = 216.24

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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.