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Finding the Fourth Proportional to 215.80, 323.62 and 183.29

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Solution

The fourth proportional to 215.80, 323.62 and 183.29 is: 274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.80 : 323.62 = 183.29 : x
  2. Step 2: Convert to fraction form
    215.80/323.62 = 183.29/x
  3. Step 3: Cross multiply
    215.80x = 323.62 × 183.29
  4. Step 4: Simplify right side
    215.80x = 59,314.23
  5. Step 5: Solve for x
    x = 59,314.23/215.80
  6. Step 6: Final answer
    x = 274.86

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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.