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Finding the Fourth Proportional to 215.76, 323.64 and 85.80

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Solution

The fourth proportional to 215.76, 323.64 and 85.80 is: 128.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.76 : 323.64 = 85.80 : x
  2. Step 2: Convert to fraction form
    215.76/323.64 = 85.80/x
  3. Step 3: Cross multiply
    215.76x = 323.64 × 85.80
  4. Step 4: Simplify right side
    215.76x = 27,768.31
  5. Step 5: Solve for x
    x = 27,768.31/215.76
  6. Step 6: Final answer
    x = 128.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.