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Finding the Fourth Proportional to 165.16, 228.88 and 163.18

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Solution

The fourth proportional to 165.16, 228.88 and 163.18 is: 226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.16 : 228.88 = 163.18 : x
  2. Step 2: Convert to fraction form
    165.16/228.88 = 163.18/x
  3. Step 3: Cross multiply
    165.16x = 228.88 × 163.18
  4. Step 4: Simplify right side
    165.16x = 37,348.64
  5. Step 5: Solve for x
    x = 37,348.64/165.16
  6. Step 6: Final answer
    x = 226.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.