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Finding the Fourth Proportional to 192.41, 265.34 and 140.30

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Solution

The fourth proportional to 192.41, 265.34 and 140.30 is: 193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.41 : 265.34 = 140.30 : x
  2. Step 2: Convert to fraction form
    192.41/265.34 = 140.30/x
  3. Step 3: Cross multiply
    192.41x = 265.34 × 140.30
  4. Step 4: Simplify right side
    192.41x = 37,225.17
  5. Step 5: Solve for x
    x = 37,225.17/192.41
  6. Step 6: Final answer
    x = 193.47

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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.