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Finding the Fourth Proportional to 165.04, 227.76 and 115.96

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Solution

The fourth proportional to 165.04, 227.76 and 115.96 is: 160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.04 : 227.76 = 115.96 : x
  2. Step 2: Convert to fraction form
    165.04/227.76 = 115.96/x
  3. Step 3: Cross multiply
    165.04x = 227.76 × 115.96
  4. Step 4: Simplify right side
    165.04x = 26,411.05
  5. Step 5: Solve for x
    x = 26,411.05/165.04
  6. Step 6: Final answer
    x = 160.03

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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.