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Finding the Fourth Proportional to 165.46, 227.09 and 151.56

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Solution

The fourth proportional to 165.46, 227.09 and 151.56 is: 208.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.46 : 227.09 = 151.56 : x
  2. Step 2: Convert to fraction form
    165.46/227.09 = 151.56/x
  3. Step 3: Cross multiply
    165.46x = 227.09 × 151.56
  4. Step 4: Simplify right side
    165.46x = 34,417.76
  5. Step 5: Solve for x
    x = 34,417.76/165.46
  6. Step 6: Final answer
    x = 208.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.