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Finding the Fourth Proportional to 216.10, 297.86 and 169.39

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Solution

The fourth proportional to 216.10, 297.86 and 169.39 is: 233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.10 : 297.86 = 169.39 : x
  2. Step 2: Convert to fraction form
    216.10/297.86 = 169.39/x
  3. Step 3: Cross multiply
    216.10x = 297.86 × 169.39
  4. Step 4: Simplify right side
    216.10x = 50,454.51
  5. Step 5: Solve for x
    x = 50,454.51/216.10
  6. Step 6: Final answer
    x = 233.48

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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.