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Finding the Fourth Proportional to 216.32, 299.04 and 164.48

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Solution

The fourth proportional to 216.32, 299.04 and 164.48 is: 227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.32 : 299.04 = 164.48 : x
  2. Step 2: Convert to fraction form
    216.32/299.04 = 164.48/x
  3. Step 3: Cross multiply
    216.32x = 299.04 × 164.48
  4. Step 4: Simplify right side
    216.32x = 49,186.10
  5. Step 5: Solve for x
    x = 49,186.10/216.32
  6. Step 6: Final answer
    x = 227.38

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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.