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Finding the Fourth Proportional to 149.65, 206.04 and 131.12

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Solution

The fourth proportional to 149.65, 206.04 and 131.12 is: 180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.65 : 206.04 = 131.12 : x
  2. Step 2: Convert to fraction form
    149.65/206.04 = 131.12/x
  3. Step 3: Cross multiply
    149.65x = 206.04 × 131.12
  4. Step 4: Simplify right side
    149.65x = 27,016.20
  5. Step 5: Solve for x
    x = 27,016.20/149.65
  6. Step 6: Final answer
    x = 180.53

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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.