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Finding the Fourth Proportional to 164.63, 226.86 and 127.64

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Solution

The fourth proportional to 164.63, 226.86 and 127.64 is: 175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.63 : 226.86 = 127.64 : x
  2. Step 2: Convert to fraction form
    164.63/226.86 = 127.64/x
  3. Step 3: Cross multiply
    164.63x = 226.86 × 127.64
  4. Step 4: Simplify right side
    164.63x = 28,956.41
  5. Step 5: Solve for x
    x = 28,956.41/164.63
  6. Step 6: Final answer
    x = 175.89

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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.