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Finding the Fourth Proportional to 141.66, 196.32 and 140.01

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Solution

The fourth proportional to 141.66, 196.32 and 140.01 is: 194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.66 : 196.32 = 140.01 : x
  2. Step 2: Convert to fraction form
    141.66/196.32 = 140.01/x
  3. Step 3: Cross multiply
    141.66x = 196.32 × 140.01
  4. Step 4: Simplify right side
    141.66x = 27,486.76
  5. Step 5: Solve for x
    x = 27,486.76/141.66
  6. Step 6: Final answer
    x = 194.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.