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Finding the Fourth Proportional to 141.62, 212.09 and 140.00

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Solution

The fourth proportional to 141.62, 212.09 and 140.00 is: 209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.62 : 212.09 = 140.00 : x
  2. Step 2: Convert to fraction form
    141.62/212.09 = 140.00/x
  3. Step 3: Cross multiply
    141.62x = 212.09 × 140.00
  4. Step 4: Simplify right side
    141.62x = 29,690.84
  5. Step 5: Solve for x
    x = 29,690.84/141.62
  6. Step 6: Final answer
    x = 209.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.