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Finding the Fourth Proportional to 165.34, 227.88 and 128.34

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Solution

The fourth proportional to 165.34, 227.88 and 128.34 is: 176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.34 : 227.88 = 128.34 : x
  2. Step 2: Convert to fraction form
    165.34/227.88 = 128.34/x
  3. Step 3: Cross multiply
    165.34x = 227.88 × 128.34
  4. Step 4: Simplify right side
    165.34x = 29,246.12
  5. Step 5: Solve for x
    x = 29,246.12/165.34
  6. Step 6: Final answer
    x = 176.88

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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.