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Finding the Fourth Proportional to 165.17, 228.03 and 110

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Solution

The fourth proportional to 165.17, 228.03 and 110 is: 151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.17 : 228.03 = 110 : x
  2. Step 2: Convert to fraction form
    165.17/228.03 = 110/x
  3. Step 3: Cross multiply
    165.17x = 228.03 × 110
  4. Step 4: Simplify right side
    165.17x = 25,083.30
  5. Step 5: Solve for x
    x = 25,083.30/165.17
  6. Step 6: Final answer
    x = 151.86

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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.