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Finding the Fourth Proportional to 164.53, 226.88 and 127.63

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Solution

The fourth proportional to 164.53, 226.88 and 127.63 is: 175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.53 : 226.88 = 127.63 : x
  2. Step 2: Convert to fraction form
    164.53/226.88 = 127.63/x
  3. Step 3: Cross multiply
    164.53x = 226.88 × 127.63
  4. Step 4: Simplify right side
    164.53x = 28,955.56
  5. Step 5: Solve for x
    x = 28,955.56/164.53
  6. Step 6: Final answer
    x = 175.99

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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.