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Finding the Fourth Proportional to 166.56, 230.07 and 151.03

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Solution

The fourth proportional to 166.56, 230.07 and 151.03 is: 208.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.56 : 230.07 = 151.03 : x
  2. Step 2: Convert to fraction form
    166.56/230.07 = 151.03/x
  3. Step 3: Cross multiply
    166.56x = 230.07 × 151.03
  4. Step 4: Simplify right side
    166.56x = 34,747.47
  5. Step 5: Solve for x
    x = 34,747.47/166.56
  6. Step 6: Final answer
    x = 208.62

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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.