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Finding the Fourth Proportional to 215.24, 322.83 and 164.15

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Solution

The fourth proportional to 215.24, 322.83 and 164.15 is: 246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.24 : 322.83 = 164.15 : x
  2. Step 2: Convert to fraction form
    215.24/322.83 = 164.15/x
  3. Step 3: Cross multiply
    215.24x = 322.83 × 164.15
  4. Step 4: Simplify right side
    215.24x = 52,993.35
  5. Step 5: Solve for x
    x = 52,993.35/215.24
  6. Step 6: Final answer
    x = 246.21

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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.