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Finding the Fourth Proportional to 140.62, 192.24 and 140.62

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Solution

The fourth proportional to 140.62, 192.24 and 140.62 is: 192.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.62 : 192.24 = 140.62 : x
  2. Step 2: Convert to fraction form
    140.62/192.24 = 140.62/x
  3. Step 3: Cross multiply
    140.62x = 192.24 × 140.62
  4. Step 4: Simplify right side
    140.62x = 27,032.79
  5. Step 5: Solve for x
    x = 27,032.79/140.62
  6. Step 6: Final answer
    x = 192.24

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