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Finding the Fourth Proportional to 165.43, 228.22 and 110.20

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Solution

The fourth proportional to 165.43, 228.22 and 110.20 is: 152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.43 : 228.22 = 110.20 : x
  2. Step 2: Convert to fraction form
    165.43/228.22 = 110.20/x
  3. Step 3: Cross multiply
    165.43x = 228.22 × 110.20
  4. Step 4: Simplify right side
    165.43x = 25,148.15
  5. Step 5: Solve for x
    x = 25,148.15/165.43
  6. Step 6: Final answer
    x = 152.02

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Why These Related Problems?

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