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Finding the Fourth Proportional to 192.51, 265.69 and 113.85

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Solution

The fourth proportional to 192.51, 265.69 and 113.85 is: 157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.51 : 265.69 = 113.85 : x
  2. Step 2: Convert to fraction form
    192.51/265.69 = 113.85/x
  3. Step 3: Cross multiply
    192.51x = 265.69 × 113.85
  4. Step 4: Simplify right side
    192.51x = 30,248.95
  5. Step 5: Solve for x
    x = 30,248.95/192.51
  6. Step 6: Final answer
    x = 157.13

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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.