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Finding the Fourth Proportional to 167.86, 230.60 and 150.60

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Solution

The fourth proportional to 167.86, 230.60 and 150.60 is: 206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.86 : 230.60 = 150.60 : x
  2. Step 2: Convert to fraction form
    167.86/230.60 = 150.60/x
  3. Step 3: Cross multiply
    167.86x = 230.60 × 150.60
  4. Step 4: Simplify right side
    167.86x = 34,728.36
  5. Step 5: Solve for x
    x = 34,728.36/167.86
  6. Step 6: Final answer
    x = 206.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.