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Finding the Fourth Proportional to 216.72, 299.06 and 118.47

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Solution

The fourth proportional to 216.72, 299.06 and 118.47 is: 163.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.72 : 299.06 = 118.47 : x
  2. Step 2: Convert to fraction form
    216.72/299.06 = 118.47/x
  3. Step 3: Cross multiply
    216.72x = 299.06 × 118.47
  4. Step 4: Simplify right side
    216.72x = 35,429.64
  5. Step 5: Solve for x
    x = 35,429.64/216.72
  6. Step 6: Final answer
    x = 163.48

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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.