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Finding the Fourth Proportional to 156, 214.86 and 140.41

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Solution

The fourth proportional to 156, 214.86 and 140.41 is: 193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156 : 214.86 = 140.41 : x
  2. Step 2: Convert to fraction form
    156/214.86 = 140.41/x
  3. Step 3: Cross multiply
    156x = 214.86 × 140.41
  4. Step 4: Simplify right side
    156x = 30,168.49
  5. Step 5: Solve for x
    x = 30,168.49/156
  6. Step 6: Final answer
    x = 193.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.