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Finding the Fourth Proportional to 164.69, 247.03 and 92.55

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Solution

The fourth proportional to 164.69, 247.03 and 92.55 is: 138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.69 : 247.03 = 92.55 : x
  2. Step 2: Convert to fraction form
    164.69/247.03 = 92.55/x
  3. Step 3: Cross multiply
    164.69x = 247.03 × 92.55
  4. Step 4: Simplify right side
    164.69x = 22,862.63
  5. Step 5: Solve for x
    x = 22,862.63/164.69
  6. Step 6: Final answer
    x = 138.82

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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.