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Finding the Fourth Proportional to 140.84, 213.01 and 140.04

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Solution

The fourth proportional to 140.84, 213.01 and 140.04 is: 211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.84 : 213.01 = 140.04 : x
  2. Step 2: Convert to fraction form
    140.84/213.01 = 140.04/x
  3. Step 3: Cross multiply
    140.84x = 213.01 × 140.04
  4. Step 4: Simplify right side
    140.84x = 29,829.92
  5. Step 5: Solve for x
    x = 29,829.92/140.84
  6. Step 6: Final answer
    x = 211.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.