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Finding the Fourth Proportional to 149.70, 206.37 and 114.66

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Solution

The fourth proportional to 149.70, 206.37 and 114.66 is: 158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.70 : 206.37 = 114.66 : x
  2. Step 2: Convert to fraction form
    149.70/206.37 = 114.66/x
  3. Step 3: Cross multiply
    149.70x = 206.37 × 114.66
  4. Step 4: Simplify right side
    149.70x = 23,662.38
  5. Step 5: Solve for x
    x = 23,662.38/149.70
  6. Step 6: Final answer
    x = 158.07

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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.