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Finding the Fourth Proportional to 215.04, 323.52 and 212.88

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Solution

The fourth proportional to 215.04, 323.52 and 212.88 is: 320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.04 : 323.52 = 212.88 : x
  2. Step 2: Convert to fraction form
    215.04/323.52 = 212.88/x
  3. Step 3: Cross multiply
    215.04x = 323.52 × 212.88
  4. Step 4: Simplify right side
    215.04x = 68,870.94
  5. Step 5: Solve for x
    x = 68,870.94/215.04
  6. Step 6: Final answer
    x = 320.27

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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.