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Finding the Fourth Proportional to 164.44, 245.48 and 141.72

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Solution

The fourth proportional to 164.44, 245.48 and 141.72 is: 211.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.44 : 245.48 = 141.72 : x
  2. Step 2: Convert to fraction form
    164.44/245.48 = 141.72/x
  3. Step 3: Cross multiply
    164.44x = 245.48 × 141.72
  4. Step 4: Simplify right side
    164.44x = 34,789.43
  5. Step 5: Solve for x
    x = 34,789.43/164.44
  6. Step 6: Final answer
    x = 211.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.