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Finding the Fourth Proportional to 164.68, 226.88 and 127.72

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Solution

The fourth proportional to 164.68, 226.88 and 127.72 is: 175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.68 : 226.88 = 127.72 : x
  2. Step 2: Convert to fraction form
    164.68/226.88 = 127.72/x
  3. Step 3: Cross multiply
    164.68x = 226.88 × 127.72
  4. Step 4: Simplify right side
    164.68x = 28,977.11
  5. Step 5: Solve for x
    x = 28,977.11/164.68
  6. Step 6: Final answer
    x = 175.96

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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.