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Finding the Fourth Proportional to 164.87, 227.69 and 127.66

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Solution

The fourth proportional to 164.87, 227.69 and 127.66 is: 176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.87 : 227.69 = 127.66 : x
  2. Step 2: Convert to fraction form
    164.87/227.69 = 127.66/x
  3. Step 3: Cross multiply
    164.87x = 227.69 × 127.66
  4. Step 4: Simplify right side
    164.87x = 29,066.24
  5. Step 5: Solve for x
    x = 29,066.24/164.87
  6. Step 6: Final answer
    x = 176.30

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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.