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Finding the Fourth Proportional to 149.75, 206.56 and 97.28

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Solution

The fourth proportional to 149.75, 206.56 and 97.28 is: 134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.75 : 206.56 = 97.28 : x
  2. Step 2: Convert to fraction form
    149.75/206.56 = 97.28/x
  3. Step 3: Cross multiply
    149.75x = 206.56 × 97.28
  4. Step 4: Simplify right side
    149.75x = 20,094.16
  5. Step 5: Solve for x
    x = 20,094.16/149.75
  6. Step 6: Final answer
    x = 134.18

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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.