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Finding the Fourth Proportional to 215.56, 321.71 and 209.80

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Solution

The fourth proportional to 215.56, 321.71 and 209.80 is: 313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.56 : 321.71 = 209.80 : x
  2. Step 2: Convert to fraction form
    215.56/321.71 = 209.80/x
  3. Step 3: Cross multiply
    215.56x = 321.71 × 209.80
  4. Step 4: Simplify right side
    215.56x = 67,494.76
  5. Step 5: Solve for x
    x = 67,494.76/215.56
  6. Step 6: Final answer
    x = 313.11

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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.