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Finding the Fourth Proportional to 165.57, 228.42 and 110.25

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Solution

The fourth proportional to 165.57, 228.42 and 110.25 is: 152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.57 : 228.42 = 110.25 : x
  2. Step 2: Convert to fraction form
    165.57/228.42 = 110.25/x
  3. Step 3: Cross multiply
    165.57x = 228.42 × 110.25
  4. Step 4: Simplify right side
    165.57x = 25,183.31
  5. Step 5: Solve for x
    x = 25,183.31/165.57
  6. Step 6: Final answer
    x = 152.10

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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.