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Finding the Fourth Proportional to 165.36, 228.30 and 115.55

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Solution

The fourth proportional to 165.36, 228.30 and 115.55 is: 159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.36 : 228.30 = 115.55 : x
  2. Step 2: Convert to fraction form
    165.36/228.30 = 115.55/x
  3. Step 3: Cross multiply
    165.36x = 228.30 × 115.55
  4. Step 4: Simplify right side
    165.36x = 26,378.92
  5. Step 5: Solve for x
    x = 26,378.92/165.36
  6. Step 6: Final answer
    x = 159.52

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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.