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Finding the Fourth Proportional to 140.34, 192.26 and 135.14

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Solution

The fourth proportional to 140.34, 192.26 and 135.14 is: 185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.34 : 192.26 = 135.14 : x
  2. Step 2: Convert to fraction form
    140.34/192.26 = 135.14/x
  3. Step 3: Cross multiply
    140.34x = 192.26 × 135.14
  4. Step 4: Simplify right side
    140.34x = 25,980.38
  5. Step 5: Solve for x
    x = 25,980.38/140.34
  6. Step 6: Final answer
    x = 185.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.