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Finding the Fourth Proportional to 216.66, 299.04 and 167.46

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Solution

The fourth proportional to 216.66, 299.04 and 167.46 is: 231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.66 : 299.04 = 167.46 : x
  2. Step 2: Convert to fraction form
    216.66/299.04 = 167.46/x
  3. Step 3: Cross multiply
    216.66x = 299.04 × 167.46
  4. Step 4: Simplify right side
    216.66x = 50,077.24
  5. Step 5: Solve for x
    x = 50,077.24/216.66
  6. Step 6: Final answer
    x = 231.13

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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.