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Finding the Fourth Proportional to 192.36, 265.40 and 113.64

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Solution

The fourth proportional to 192.36, 265.40 and 113.64 is: 156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.36 : 265.40 = 113.64 : x
  2. Step 2: Convert to fraction form
    192.36/265.40 = 113.64/x
  3. Step 3: Cross multiply
    192.36x = 265.40 × 113.64
  4. Step 4: Simplify right side
    192.36x = 30,159.49
  5. Step 5: Solve for x
    x = 30,159.49/192.36
  6. Step 6: Final answer
    x = 156.79

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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.