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Finding the Fourth Proportional to 164.88, 247.31 and 43.14

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Solution

The fourth proportional to 164.88, 247.31 and 43.14 is: 64.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.88 : 247.31 = 43.14 : x
  2. Step 2: Convert to fraction form
    164.88/247.31 = 43.14/x
  3. Step 3: Cross multiply
    164.88x = 247.31 × 43.14
  4. Step 4: Simplify right side
    164.88x = 10,668.95
  5. Step 5: Solve for x
    x = 10,668.95/164.88
  6. Step 6: Final answer
    x = 64.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.