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Finding the Fourth Proportional to 164.03, 225.99 and 147.83

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Solution

The fourth proportional to 164.03, 225.99 and 147.83 is: 203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.03 : 225.99 = 147.83 : x
  2. Step 2: Convert to fraction form
    164.03/225.99 = 147.83/x
  3. Step 3: Cross multiply
    164.03x = 225.99 × 147.83
  4. Step 4: Simplify right side
    164.03x = 33,406.97
  5. Step 5: Solve for x
    x = 33,406.97/164.03
  6. Step 6: Final answer
    x = 203.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.