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Finding the Fourth Proportional to 141.17, 212.83 and 140.00

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Solution

The fourth proportional to 141.17, 212.83 and 140.00 is: 211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.17 : 212.83 = 140.00 : x
  2. Step 2: Convert to fraction form
    141.17/212.83 = 140.00/x
  3. Step 3: Cross multiply
    141.17x = 212.83 × 140.00
  4. Step 4: Simplify right side
    141.17x = 29,794.79
  5. Step 5: Solve for x
    x = 29,794.79/141.17
  6. Step 6: Final answer
    x = 211.06

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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.