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Finding the Fourth Proportional to 216.67, 299.15 and 151.33

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Solution

The fourth proportional to 216.67, 299.15 and 151.33 is: 208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.67 : 299.15 = 151.33 : x
  2. Step 2: Convert to fraction form
    216.67/299.15 = 151.33/x
  3. Step 3: Cross multiply
    216.67x = 299.15 × 151.33
  4. Step 4: Simplify right side
    216.67x = 45,270.37
  5. Step 5: Solve for x
    x = 45,270.37/216.67
  6. Step 6: Final answer
    x = 208.94

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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.