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Finding the Fourth Proportional to 149.82, 206.68 and 97.33

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Solution

The fourth proportional to 149.82, 206.68 and 97.33 is: 134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.82 : 206.68 = 97.33 : x
  2. Step 2: Convert to fraction form
    149.82/206.68 = 97.33/x
  3. Step 3: Cross multiply
    149.82x = 206.68 × 97.33
  4. Step 4: Simplify right side
    149.82x = 20,117.04
  5. Step 5: Solve for x
    x = 20,117.04/149.82
  6. Step 6: Final answer
    x = 134.28

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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.