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Finding the Fourth Proportional to 215.37, 320.88 and 205.05

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Solution

The fourth proportional to 215.37, 320.88 and 205.05 is: 305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.37 : 320.88 = 205.05 : x
  2. Step 2: Convert to fraction form
    215.37/320.88 = 205.05/x
  3. Step 3: Cross multiply
    215.37x = 320.88 × 205.05
  4. Step 4: Simplify right side
    215.37x = 65,796.44
  5. Step 5: Solve for x
    x = 65,796.44/215.37
  6. Step 6: Final answer
    x = 305.50

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Why These Related Problems?

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