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Finding the Fourth Proportional to 165.13, 227.78 and 130.10

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Solution

The fourth proportional to 165.13, 227.78 and 130.10 is: 179.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.13 : 227.78 = 130.10 : x
  2. Step 2: Convert to fraction form
    165.13/227.78 = 130.10/x
  3. Step 3: Cross multiply
    165.13x = 227.78 × 130.10
  4. Step 4: Simplify right side
    165.13x = 29,634.10
  5. Step 5: Solve for x
    x = 29,634.10/165.13
  6. Step 6: Final answer
    x = 179.46

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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.