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Finding the Fourth Proportional to 164.85, 247.34 and 55.17

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Solution

The fourth proportional to 164.85, 247.34 and 55.17 is: 82.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.85 : 247.34 = 55.17 : x
  2. Step 2: Convert to fraction form
    164.85/247.34 = 55.17/x
  3. Step 3: Cross multiply
    164.85x = 247.34 × 55.17
  4. Step 4: Simplify right side
    164.85x = 13,645.47
  5. Step 5: Solve for x
    x = 13,645.47/164.85
  6. Step 6: Final answer
    x = 82.78

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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.