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Finding the Fourth Proportional to 207.36, 309.61 and 201.89

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Solution

The fourth proportional to 207.36, 309.61 and 201.89 is: 301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.36 : 309.61 = 201.89 : x
  2. Step 2: Convert to fraction form
    207.36/309.61 = 201.89/x
  3. Step 3: Cross multiply
    207.36x = 309.61 × 201.89
  4. Step 4: Simplify right side
    207.36x = 62,507.16
  5. Step 5: Solve for x
    x = 62,507.16/207.36
  6. Step 6: Final answer
    x = 301.44

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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.