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Finding the Fourth Proportional to 164.55, 227.07 and 127.74

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Solution

The fourth proportional to 164.55, 227.07 and 127.74 is: 176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.55 : 227.07 = 127.74 : x
  2. Step 2: Convert to fraction form
    164.55/227.07 = 127.74/x
  3. Step 3: Cross multiply
    164.55x = 227.07 × 127.74
  4. Step 4: Simplify right side
    164.55x = 29,005.92
  5. Step 5: Solve for x
    x = 29,005.92/164.55
  6. Step 6: Final answer
    x = 176.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.