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Finding the Fourth Proportional to 215.46, 322.41 and 180.90

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Solution

The fourth proportional to 215.46, 322.41 and 180.90 is: 270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.46 : 322.41 = 180.90 : x
  2. Step 2: Convert to fraction form
    215.46/322.41 = 180.90/x
  3. Step 3: Cross multiply
    215.46x = 322.41 × 180.90
  4. Step 4: Simplify right side
    215.46x = 58,323.97
  5. Step 5: Solve for x
    x = 58,323.97/215.46
  6. Step 6: Final answer
    x = 270.70

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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.