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Finding the Fourth Proportional to 165.04, 227.84 and 112.86

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Solution

The fourth proportional to 165.04, 227.84 and 112.86 is: 155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.04 : 227.84 = 112.86 : x
  2. Step 2: Convert to fraction form
    165.04/227.84 = 112.86/x
  3. Step 3: Cross multiply
    165.04x = 227.84 × 112.86
  4. Step 4: Simplify right side
    165.04x = 25,714.02
  5. Step 5: Solve for x
    x = 25,714.02/165.04
  6. Step 6: Final answer
    x = 155.80

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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.