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Finding the Fourth Proportional to 215.80, 297.62 and 169.10

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Solution

The fourth proportional to 215.80, 297.62 and 169.10 is: 233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.80 : 297.62 = 169.10 : x
  2. Step 2: Convert to fraction form
    215.80/297.62 = 169.10/x
  3. Step 3: Cross multiply
    215.80x = 297.62 × 169.10
  4. Step 4: Simplify right side
    215.80x = 50,327.54
  5. Step 5: Solve for x
    x = 50,327.54/215.80
  6. Step 6: Final answer
    x = 233.21

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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.