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Finding the Fourth Proportional to 216.81, 299.09 and 177.46

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Solution

The fourth proportional to 216.81, 299.09 and 177.46 is: 244.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.81 : 299.09 = 177.46 : x
  2. Step 2: Convert to fraction form
    216.81/299.09 = 177.46/x
  3. Step 3: Cross multiply
    216.81x = 299.09 × 177.46
  4. Step 4: Simplify right side
    216.81x = 53,076.21
  5. Step 5: Solve for x
    x = 53,076.21/216.81
  6. Step 6: Final answer
    x = 244.81

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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.