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Finding the Fourth Proportional to 188.72, 260.64 and 164.18

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Solution

The fourth proportional to 188.72, 260.64 and 164.18 is: 226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.72 : 260.64 = 164.18 : x
  2. Step 2: Convert to fraction form
    188.72/260.64 = 164.18/x
  3. Step 3: Cross multiply
    188.72x = 260.64 × 164.18
  4. Step 4: Simplify right side
    188.72x = 42,791.88
  5. Step 5: Solve for x
    x = 42,791.88/188.72
  6. Step 6: Final answer
    x = 226.75

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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.