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Finding the Fourth Proportional to 164.00, 245.99 and 109.86

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Solution

The fourth proportional to 164.00, 245.99 and 109.86 is: 164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.00 : 245.99 = 109.86 : x
  2. Step 2: Convert to fraction form
    164.00/245.99 = 109.86/x
  3. Step 3: Cross multiply
    164.00x = 245.99 × 109.86
  4. Step 4: Simplify right side
    164.00x = 27,024.74
  5. Step 5: Solve for x
    x = 27,024.74/164.00
  6. Step 6: Final answer
    x = 164.79

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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.