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Finding the Fourth Proportional to 164.03, 244.99 and 129.83

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Solution

The fourth proportional to 164.03, 244.99 and 129.83 is: 193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.03 : 244.99 = 129.83 : x
  2. Step 2: Convert to fraction form
    164.03/244.99 = 129.83/x
  3. Step 3: Cross multiply
    164.03x = 244.99 × 129.83
  4. Step 4: Simplify right side
    164.03x = 31,806.40
  5. Step 5: Solve for x
    x = 31,806.40/164.03
  6. Step 6: Final answer
    x = 193.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.