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Finding the Fourth Proportional to 215.53, 323.51 and 201.25

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Solution

The fourth proportional to 215.53, 323.51 and 201.25 is: 302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.53 : 323.51 = 201.25 : x
  2. Step 2: Convert to fraction form
    215.53/323.51 = 201.25/x
  3. Step 3: Cross multiply
    215.53x = 323.51 × 201.25
  4. Step 4: Simplify right side
    215.53x = 65,105.38
  5. Step 5: Solve for x
    x = 65,105.38/215.53
  6. Step 6: Final answer
    x = 302.07

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Why These Related Problems?

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