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Finding the Fourth Proportional to 164.00, 245.61 and 115.13

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Solution

The fourth proportional to 164.00, 245.61 and 115.13 is: 172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.00 : 245.61 = 115.13 : x
  2. Step 2: Convert to fraction form
    164.00/245.61 = 115.13/x
  3. Step 3: Cross multiply
    164.00x = 245.61 × 115.13
  4. Step 4: Simplify right side
    164.00x = 28,277.69
  5. Step 5: Solve for x
    x = 28,277.69/164.00
  6. Step 6: Final answer
    x = 172.42

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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.