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Finding the Fourth Proportional to 215.75, 321.38 and 215.34

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Solution

The fourth proportional to 215.75, 321.38 and 215.34 is: 320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.75 : 321.38 = 215.34 : x
  2. Step 2: Convert to fraction form
    215.75/321.38 = 215.34/x
  3. Step 3: Cross multiply
    215.75x = 321.38 × 215.34
  4. Step 4: Simplify right side
    215.75x = 69,204.89
  5. Step 5: Solve for x
    x = 69,204.89/215.75
  6. Step 6: Final answer
    x = 320.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.