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Finding the Fourth Proportional to 140.10, 196.50 and 140.10

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Solution

The fourth proportional to 140.10, 196.50 and 140.10 is: 196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.10 : 196.50 = 140.10 : x
  2. Step 2: Convert to fraction form
    140.10/196.50 = 140.10/x
  3. Step 3: Cross multiply
    140.10x = 196.50 × 140.10
  4. Step 4: Simplify right side
    140.10x = 27,529.65
  5. Step 5: Solve for x
    x = 27,529.65/140.10
  6. Step 6: Final answer
    x = 196.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.