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Finding the Fourth Proportional to 192.00, 264.65 and 129.81

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Solution

The fourth proportional to 192.00, 264.65 and 129.81 is: 178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.00 : 264.65 = 129.81 : x
  2. Step 2: Convert to fraction form
    192.00/264.65 = 129.81/x
  3. Step 3: Cross multiply
    192.00x = 264.65 × 129.81
  4. Step 4: Simplify right side
    192.00x = 34,352.58
  5. Step 5: Solve for x
    x = 34,352.58/192.00
  6. Step 6: Final answer
    x = 178.92

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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.