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Finding the Fourth Proportional to 141.84, 196.56 and 139.68

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Solution

The fourth proportional to 141.84, 196.56 and 139.68 is: 193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.84 : 196.56 = 139.68 : x
  2. Step 2: Convert to fraction form
    141.84/196.56 = 139.68/x
  3. Step 3: Cross multiply
    141.84x = 196.56 × 139.68
  4. Step 4: Simplify right side
    141.84x = 27,455.50
  5. Step 5: Solve for x
    x = 27,455.50/141.84
  6. Step 6: Final answer
    x = 193.57

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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.