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Finding the Fourth Proportional to 192.18, 265.17 and 182.45

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Solution

The fourth proportional to 192.18, 265.17 and 182.45 is: 251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.18 : 265.17 = 182.45 : x
  2. Step 2: Convert to fraction form
    192.18/265.17 = 182.45/x
  3. Step 3: Cross multiply
    192.18x = 265.17 × 182.45
  4. Step 4: Simplify right side
    192.18x = 48,379.60
  5. Step 5: Solve for x
    x = 48,379.60/192.18
  6. Step 6: Final answer
    x = 251.75

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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.