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Finding the Fourth Proportional to 215.93, 321.76 and 205.48

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Solution

The fourth proportional to 215.93, 321.76 and 205.48 is: 306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.93 : 321.76 = 205.48 : x
  2. Step 2: Convert to fraction form
    215.93/321.76 = 205.48/x
  3. Step 3: Cross multiply
    215.93x = 321.76 × 205.48
  4. Step 4: Simplify right side
    215.93x = 66,113.84
  5. Step 5: Solve for x
    x = 66,113.84/215.93
  6. Step 6: Final answer
    x = 306.18

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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.