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Finding the Fourth Proportional to 192.50, 265.57 and 116.83

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Solution

The fourth proportional to 192.50, 265.57 and 116.83 is: 161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.50 : 265.57 = 116.83 : x
  2. Step 2: Convert to fraction form
    192.50/265.57 = 116.83/x
  3. Step 3: Cross multiply
    192.50x = 265.57 × 116.83
  4. Step 4: Simplify right side
    192.50x = 31,025.59
  5. Step 5: Solve for x
    x = 31,025.59/192.50
  6. Step 6: Final answer
    x = 161.17

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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.