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Finding the Fourth Proportional to 215.13, 322.37 and 166.30

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Solution

The fourth proportional to 215.13, 322.37 and 166.30 is: 249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.13 : 322.37 = 166.30 : x
  2. Step 2: Convert to fraction form
    215.13/322.37 = 166.30/x
  3. Step 3: Cross multiply
    215.13x = 322.37 × 166.30
  4. Step 4: Simplify right side
    215.13x = 53,610.13
  5. Step 5: Solve for x
    x = 53,610.13/215.13
  6. Step 6: Final answer
    x = 249.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.