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Finding the Fourth Proportional to 165.01, 227.76 and 109.76

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Solution

The fourth proportional to 165.01, 227.76 and 109.76 is: 151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.01 : 227.76 = 109.76 : x
  2. Step 2: Convert to fraction form
    165.01/227.76 = 109.76/x
  3. Step 3: Cross multiply
    165.01x = 227.76 × 109.76
  4. Step 4: Simplify right side
    165.01x = 24,999.06
  5. Step 5: Solve for x
    x = 24,999.06/165.01
  6. Step 6: Final answer
    x = 151.50

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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.